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Mikhail M. Kapranov - Author Profile - zbMATH Open

Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.

1994

Koszul duality for operads. Zbl 0855.18006
Ginzburg, Victor; Kapranov, Mikhail

1994

Representable functors, Serre functors, and mutations. Zbl 0703.14011
Bondal, A. I.; Kapranov, M. M.

1990

Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.

2008

Chow quotients of Grassmannians. I. Zbl 0811.14043
Kapranov, M. M.

1993

On the derived categories of coherent sheaves on some homogeneous spaces. Zbl 0651.18008
Kapranov, M. M.

1988

Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.

1990

Non-archimedean amoebas and tropical varieties. Zbl 1115.14051
Einsiedler, Manfred; Kapranov, Mikhail; Lind, Douglas

2006

2-categories and Zamolodchikov tetrahedra equations. Zbl 0809.18006
Kapranov, M. M.; Voevodsky, V. A.

1994

Hypergeometric functions and toric varieties. (Hypergeometric functions and toral manifolds.) Zbl 0721.33006
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.

1989

Modular operads. Zbl 0894.18005
Getzler, E.; Kapranov, M. M.

1998

Enhanced triangulated categories. Zbl 0729.18008
Bondal, A. I.; Kapranov, M. M.

1991

Cyclic operads and cyclic homology. Zbl 0883.18013
Getzler, E.; Kapranov, M. M.

1995

Rozansky-Witten invariants via Atiyah classes. Zbl 0993.53026
Kapranov, M.

1999

Langlands reciprocity for algebraic surfaces. Zbl 0914.11040
Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric

1995

Veronese curves and Grothendieck-Knudsen moduli space \(\overline{M_{0,n}}\). Zbl 0790.14020
Kapranov, M. M.

1993

Kleinian singularities, derived categories and Hall algebras. Zbl 0997.14001
Kapranov, M.; Vasserot, E.

2000

Higher Segal spaces. Zbl 1459.18001
Dyckerhoff, Tobias; Kapranov, Mikhail

2019

Equipped triangulated categories. Zbl 0719.18005
Bondal, A. I.; Kapranov, M. M.

1990

The permutoassociahedron, Mac Lane’s coherence theorem and asymptotic zones for the KZ equation. Zbl 0812.18003
Kapranov, Mikhail M.

1993

Chow polytopes and general resultants. Zbl 0780.14027
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.

1992

Eisenstein series and quantum affine algebras. Zbl 0929.11015
Kapranov, M. M.

1997

Arrangements of hyperplanes and vector bundles on \(\mathbb{P}^ n\). Zbl 0804.14007
Dolgachev, I.; Kapranov, M.

1993

Derived Quot schemes. Zbl 1050.14042
Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail

2001

Virtual fundamental classes via dg-manifolds. Zbl 1159.14002
Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail

2009

Quotients of toric varieties. Zbl 0762.14023
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.

1991

Cellular strings on polytopes. Zbl 0812.52007
Billera, Louis J.; Kapranov, M. M.; Sturmfels, Bernd

1994

Combinatorial-geometric aspects of polycategory theory: Pasting schemes and higher Bruhat orders (list of results). Zbl 0748.18010
Kapranov, M. M.; Voevodskij, V. A.

1991

A characterization of A-discriminantal hypersurfaces in terms of logarithmic Gauss map. Zbl 0714.14031
Kapranov, M. M.

1991

Heisenberg doubles and derived categories. Zbl 0910.18005
Kapranov, M.

1998

Representation and character theory in 2-categories. Zbl 1136.18001
Ganter, Nora; Kapranov, Mikhail

2008

Braided monoidal 2-categories and Manin-Schechtman higher braid groups. Zbl 0791.18010
Kapranov, M.; Voevodsky, V.

1994

On the derived category of coherent sheaves on Grassmann manifolds. Zbl 0564.14023
Kapranov, M. M.

1985

Modules and Morita theorem for operads. Zbl 1001.18004
Kapranov, M.; Manin, Yu.

2001

Hyperdeterminants. Zbl 0774.15002
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.

1992

Triangulated surfaces in triangulated categories. Zbl 1403.18011
Dyckerhoff, Tobias; Kapranov, Mikhail

2018

Noncommutative geometry based on conductor expansions. Zbl 0918.14001
Kapranov, M.

1998

Perverse schobers and birational geometry. Zbl 1436.14037
Bondal, Alexey; Kapranov, Mikhail; Schechtman, Vadim

2018

Vertex algebras and the formal loop space. Zbl 1106.17038
Kapranov, Mikhail; Vasserot, Eric

2004

Free \(n\)-category generated by a cube, oriented matroids, and higher Bruhat orders. Zbl 0766.20005
Voevodskij, V. A.; Kapranov, M. M.

1991

The Gauss map and a noncompact Riemann-Roch formula for constructible sheaves on semiabelian varieties. Zbl 1021.14016
Franecki, J.; Kapranov, M.

2000

Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.

1990

Crossed simplicial groups and structured surfaces. Zbl 1373.18015
Dyckerhoff, T.; Kapranov, M.

2015

Free Lie algebroids and the space of paths. Zbl 1149.14003
Kapranov, Mikhail

2007

Perverse sheaves over real hyperplane arrangements. Zbl 1360.14062
Kapranov, Mikhail; Schechtman, Vadim

2016

A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.

1993

Derived Hilbert schemes. Zbl 1074.14003
Ciocan-Fontanine, Ionut; Kapranov, Mikhail M.

2002

Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.

1990

Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.

1988

Residue construction of Hecke algebras. Zbl 0884.22010
Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric

1997

\(\infty\)-groupoids and homotopy types. Zbl 0754.18008
Kapranov, M. M.; Voevodskij, V. A.

1991

Newton polyhedra of principal \(A\)-determinants. Zbl 0742.14042
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.

1989

The derived category of coherent sheaves on a quadric. Zbl 0607.18004
Kapranov, M. M.

1986

On DG-modules over the De Rham complex and the vanishing cycles functor. Zbl 0757.14010
Kapranov, M. M.

1991

Analogies between the Langlands correspondence and topological quantum field theory. Zbl 0858.11062
Kapranov, M. M.

1995

Discriminants of polynomials in several variables. Zbl 0719.15003
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.

1990

Double affine Hecke algebras and \(2\)-dimensional local fields. Zbl 0958.20005
Kapranov, M.

2001

Formal loops. II: A local Riemann-Roch theorem for determinantal gerbes. Zbl 1129.14022
Kapranov, Mikhail; Vasserot, Éric

2007

Higher Kac-Moody algebras and moduli spaces of \(G\)-bundles. Zbl 1409.14027
Faonte, Giovanni; Hennion, Benjamin; Kapranov, Mikhail

2019

Homogeneous bundles. Zbl 0742.14011
Bondal, A. I.; Kapranov, M. M.

1990

Symmetric and exterior powers of categories. Zbl 1307.18007
Ganter, Nora; Kapranov, Mikhail

2014

Microlocal sheaves and quiver varieties. Zbl 1370.14026
Bezrukavnikov, Roman; Kapranov, Mikhail

2016

Shuffle algebras and perverse sheaves. Zbl 1464.14022
Kapranov, Mikhail; Schechtman, Vadim

2020

Erratum to “Koszul duality for operads”. Zbl 0855.18007
Ginzburg, V.; Kapranov, M.

1995

The Hall algebra of a curve. Zbl 1366.16026
Kapranov, Mikhail; Schiffmann, Olivier; Vasserot, Eric

2017

Injective resolutions of \(BG\) and derived moduli spaces of local systems. Zbl 0972.18012
Kapranov, M.

2001

On the derived category and K-functor of coherent sheaves on intersections of quadrics. Zbl 0679.14005
Kapranov, M. M.

1989

On cuspidal divisors on the modular varieties of elliptic modules. Zbl 0664.14025
Kapranov, M. M.

1988

Algebra of the infrared and secondary polytopes. Zbl 1348.81424
Kapranov, M.; Kontsevich, M.; Soibelman, Y.

2016

Hypergeometric functions, toric varieties and Newton polyhedra. Zbl 0785.33008
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.

1991

Derived category of coherent sheaves on Grassmann varieties. Zbl 0571.14007
Kapranov, M. M.

1983

Derived varieties of complexes and Kostant’s theorem for \(\mathfrak{gl}(m|n)\). Zbl 1433.17025
Kapranov, M.; Pimenov, S.

2017

Noncommutative geometry and path integrals. Zbl 1204.58008
Kapranov, Mikhail

2009

A-discriminants and Cayley-Koszul complexes. Zbl 0716.13016
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.

1990

Hypergeometric functions on reductive groups. Zbl 0987.33008
Kapranov, Mikhail

1998

Formal loops. III. Additive functions and the Radon transform. Zbl 1154.14007
Kapranov, M.; Vasserot, E.

2008

Supersymmetry and the formal loop space. Zbl 1219.14026
Kapranov, Mikhail; Vasserot, Eric

2011

Supergeometry in mathematics and physics. Zbl 1487.58038
Kapranov, Mikhail

2021

On the dimension and degree of the projective dual variety: A \(q\)-analog of the Katz-Kleiman formula. Zbl 0828.14037
Gelfand, I. M.; Kapranov, M. M.

1993

Riemann-Roch for real varieties. Zbl 1230.14010
Bressler, Paul; Kapranov, Mikhail; Tsygan, Boris; Vasserot, Eric

2009

Real mixed Hodge structures. Zbl 1276.14013
Kapranov, Mikhail

2012

Gel’fand-Fuchs cohomology in algebraic geometry and factorization algebras. Zbl 1515.14031
Hennion, Benjamin; Kapranov, Mikhail

2023

The cohomological Hall algebra of a surface and factorization cohomology. Zbl 1529.14011
Kapranov, Mikhail; Vasserot, Eric

2023

Schur quadrics, cubic surfaces and rank 2 vector bundles over the projective plane. Zbl 0809.14011
Dolgachev, I.; Kapranov, M.

1993

Contingency tables with variable margins (with an appendix by Pavel Etingof). Zbl 1454.05012
Kapranov, Mikhail; Schechtman, Vadim

2020

Projectively dual varieties and hyperdeterminants. Zbl 0715.14042
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.

1989

Parabolic divisors on modular varieties of elliptic modules. Zbl 0627.14032
Kapranov, M. M.

1987

Hidden Stasheff polytopes in algebraic K-theory and in the space of Morse functions. Zbl 0932.19002
Kapranov, Mikhail M.; Saito, Masahico

1999

Higher category theory. Workshop on higher category theory and physics, Evanston, IL, USA, March 28–30, 1997. Zbl 0906.00017

1998

Toric arc schemes and quantum cohomology of toric varieties. Zbl 1097.14043
Arkhipov, Sergey; Kapranov, Mikhail

2006

Mutations and Serre functors on constructive bundles. Zbl 0744.55003
Kapranov, M. M.

1990

A higher-dimensional generalization of the Goss zeta function. Zbl 0819.11055
Kapranov, M.

1995

Spherical Hall algebra of \(\overline{\text{Spec}(\mathbb Z)}\). Zbl 1357.11054
Kapranov, M.; Schiffmann, O.; Vasserot, E.

2014

Topology and \(K\)-theory. Lectures by Daniel Quillen. With a contribution by Mikhail Kapranov. Zbl 1434.19001
Penner, Robert

2020

\(\infty\)-groupoids as a model for a homotopy category. Zbl 0721.55015
Voevodskij, V. A.; Kapranov, M. M.

1990

The twistor transformation and algebraic-geometric constructions of solutions of the equations of field theory. Zbl 0614.32025
Kapranov, M. M.; Manin, Yu. I.

1986

Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic. Zbl 1008.20006
Kapranov, Mikhail

2000

Operads and algebraic geometry. Zbl 0928.18003
Kapranov, M.

1998

Infinite-dimensional (dg) Lie algebras and factorization algebras in algebraic geometry. Zbl 1467.14007
Kapranov, Mikhail

2021

Preface [to the International Conference “Geometry and Dynamics of Groups and Spaces. In Memory of Alexander Reznikov”]. Zbl 1134.01313
Kapranov, Mikhail; Kolyada, Sergiy; Manin, Yuri; Moree, Pieter; Potyagailo, Leonid

2008

Gel’fand-Fuchs cohomology in algebraic geometry and factorization algebras. Zbl 1515.14031
Hennion, Benjamin; Kapranov, Mikhail

2023

The cohomological Hall algebra of a surface and factorization cohomology. Zbl 1529.14011
Kapranov, Mikhail; Vasserot, Eric

2023

Perverse sheaves on Riemann surfaces as Milnor sheaves. Zbl 1528.32045
Dyckerhoff, Tobias; Kapranov, Mikhail; Soibelman, Yan

2023

Parabolic induction and perverse sheaves on \(W \backslash \mathfrak{h} \). Zbl 1494.14017
Kapranov, Mikhail; Schechtman, Vadim

2022

Supergeometry in mathematics and physics. Zbl 1487.58038
Kapranov, Mikhail

2021

Infinite-dimensional (dg) Lie algebras and factorization algebras in algebraic geometry. Zbl 1467.14007
Kapranov, Mikhail

2021

Shuffle algebras and perverse sheaves. Zbl 1464.14022
Kapranov, Mikhail; Schechtman, Vadim

2020

Contingency tables with variable margins (with an appendix by Pavel Etingof). Zbl 1454.05012
Kapranov, Mikhail; Schechtman, Vadim

2020

Topology and \(K\)-theory. Lectures by Daniel Quillen. With a contribution by Mikhail Kapranov. Zbl 1434.19001
Penner, Robert

2020

Higher Segal spaces. Zbl 1459.18001
Dyckerhoff, Tobias; Kapranov, Mikhail

2019

Higher Kac-Moody algebras and moduli spaces of \(G\)-bundles. Zbl 1409.14027
Faonte, Giovanni; Hennion, Benjamin; Kapranov, Mikhail

2019

Triangulated surfaces in triangulated categories. Zbl 1403.18011
Dyckerhoff, Tobias; Kapranov, Mikhail

2018

Perverse schobers and birational geometry. Zbl 1436.14037
Bondal, Alexey; Kapranov, Mikhail; Schechtman, Vadim

2018

The Hall algebra of a curve. Zbl 1366.16026
Kapranov, Mikhail; Schiffmann, Olivier; Vasserot, Eric

2017

Derived varieties of complexes and Kostant’s theorem for \(\mathfrak{gl}(m|n)\). Zbl 1433.17025
Kapranov, M.; Pimenov, S.

2017

Perverse sheaves over real hyperplane arrangements. Zbl 1360.14062
Kapranov, Mikhail; Schechtman, Vadim

2016

Microlocal sheaves and quiver varieties. Zbl 1370.14026
Bezrukavnikov, Roman; Kapranov, Mikhail

2016

Algebra of the infrared and secondary polytopes. Zbl 1348.81424
Kapranov, M.; Kontsevich, M.; Soibelman, Y.

2016

Crossed simplicial groups and structured surfaces. Zbl 1373.18015
Dyckerhoff, T.; Kapranov, M.

2015

Symmetric and exterior powers of categories. Zbl 1307.18007
Ganter, Nora; Kapranov, Mikhail

2014

Spherical Hall algebra of \(\overline{\text{Spec}(\mathbb Z)}\). Zbl 1357.11054
Kapranov, M.; Schiffmann, O.; Vasserot, E.

2014

Real mixed Hodge structures. Zbl 1276.14013
Kapranov, Mikhail

2012

Supersymmetry and the formal loop space. Zbl 1219.14026
Kapranov, Mikhail; Vasserot, Eric

2011

Virtual fundamental classes via dg-manifolds. Zbl 1159.14002
Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail

2009

Noncommutative geometry and path integrals. Zbl 1204.58008
Kapranov, Mikhail

2009

Riemann-Roch for real varieties. Zbl 1230.14010
Bressler, Paul; Kapranov, Mikhail; Tsygan, Boris; Vasserot, Eric

2009

Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.

2008

Representation and character theory in 2-categories. Zbl 1136.18001
Ganter, Nora; Kapranov, Mikhail

2008

Formal loops. III. Additive functions and the Radon transform. Zbl 1154.14007
Kapranov, M.; Vasserot, E.

2008

Preface [to the International Conference “Geometry and Dynamics of Groups and Spaces. In Memory of Alexander Reznikov”]. Zbl 1134.01313
Kapranov, Mikhail; Kolyada, Sergiy; Manin, Yuri; Moree, Pieter; Potyagailo, Leonid

2008

Geometry and dynamics of groups and spaces. In memory of Alexander Reznikov. Partly based on the international conference on geometry and dynamics of groups and spaces in memory of Alexander Reznikov, Bonn, Germany, September 22–29, 2006. Zbl 1130.00014

2008

Free Lie algebroids and the space of paths. Zbl 1149.14003
Kapranov, Mikhail

2007

Formal loops. II: A local Riemann-Roch theorem for determinantal gerbes. Zbl 1129.14022
Kapranov, Mikhail; Vasserot, Éric

2007

Non-archimedean amoebas and tropical varieties. Zbl 1115.14051
Einsiedler, Manfred; Kapranov, Mikhail; Lind, Douglas

2006

Toric arc schemes and quantum cohomology of toric varieties. Zbl 1097.14043
Arkhipov, Sergey; Kapranov, Mikhail

2006

Vertex algebras and the formal loop space. Zbl 1106.17038
Kapranov, Mikhail; Vasserot, Eric

2004

Derived Hilbert schemes. Zbl 1074.14003
Ciocan-Fontanine, Ionut; Kapranov, Mikhail M.

2002

Derived Quot schemes. Zbl 1050.14042
Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail

2001

Modules and Morita theorem for operads. Zbl 1001.18004
Kapranov, M.; Manin, Yu.

2001

Double affine Hecke algebras and \(2\)-dimensional local fields. Zbl 0958.20005
Kapranov, M.

2001

Injective resolutions of \(BG\) and derived moduli spaces of local systems. Zbl 0972.18012
Kapranov, M.

2001

Kleinian singularities, derived categories and Hall algebras. Zbl 0997.14001
Kapranov, M.; Vasserot, E.

2000

The Gauss map and a noncompact Riemann-Roch formula for constructible sheaves on semiabelian varieties. Zbl 1021.14016
Franecki, J.; Kapranov, M.

2000

Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic. Zbl 1008.20006
Kapranov, Mikhail

2000

Rozansky-Witten invariants via Atiyah classes. Zbl 0993.53026
Kapranov, M.

1999

Hidden Stasheff polytopes in algebraic K-theory and in the space of Morse functions. Zbl 0932.19002
Kapranov, Mikhail M.; Saito, Masahico

1999

Modular operads. Zbl 0894.18005
Getzler, E.; Kapranov, M. M.

1998

Heisenberg doubles and derived categories. Zbl 0910.18005
Kapranov, M.

1998

Noncommutative geometry based on conductor expansions. Zbl 0918.14001
Kapranov, M.

1998

Hypergeometric functions on reductive groups. Zbl 0987.33008
Kapranov, Mikhail

1998

Higher category theory. Workshop on higher category theory and physics, Evanston, IL, USA, March 28–30, 1997. Zbl 0906.00017

1998

Operads and algebraic geometry. Zbl 0928.18003
Kapranov, M.

1998

Eisenstein series and quantum affine algebras. Zbl 0929.11015
Kapranov, M. M.

1997

Residue construction of Hecke algebras. Zbl 0884.22010
Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric

1997

Cyclic operads and cyclic homology. Zbl 0883.18013
Getzler, E.; Kapranov, M. M.

1995

Langlands reciprocity for algebraic surfaces. Zbl 0914.11040
Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric

1995

Analogies between the Langlands correspondence and topological quantum field theory. Zbl 0858.11062
Kapranov, M. M.

1995

Erratum to “Koszul duality for operads”. Zbl 0855.18007
Ginzburg, V.; Kapranov, M.

1995

A higher-dimensional generalization of the Goss zeta function. Zbl 0819.11055
Kapranov, M.

1995

Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.

1994

Koszul duality for operads. Zbl 0855.18006
Ginzburg, Victor; Kapranov, Mikhail

1994

2-categories and Zamolodchikov tetrahedra equations. Zbl 0809.18006
Kapranov, M. M.; Voevodsky, V. A.

1994

Cellular strings on polytopes. Zbl 0812.52007
Billera, Louis J.; Kapranov, M. M.; Sturmfels, Bernd

1994

Braided monoidal 2-categories and Manin-Schechtman higher braid groups. Zbl 0791.18010
Kapranov, M.; Voevodsky, V.

1994

Chow quotients of Grassmannians. I. Zbl 0811.14043
Kapranov, M. M.

1993

Veronese curves and Grothendieck-Knudsen moduli space \(\overline{M_{0,n}}\). Zbl 0790.14020
Kapranov, M. M.

1993

The permutoassociahedron, Mac Lane’s coherence theorem and asymptotic zones for the KZ equation. Zbl 0812.18003
Kapranov, Mikhail M.

1993

Arrangements of hyperplanes and vector bundles on \(\mathbb{P}^ n\). Zbl 0804.14007
Dolgachev, I.; Kapranov, M.

1993

A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.

1993

On the dimension and degree of the projective dual variety: A \(q\)-analog of the Katz-Kleiman formula. Zbl 0828.14037
Gelfand, I. M.; Kapranov, M. M.

1993

Schur quadrics, cubic surfaces and rank 2 vector bundles over the projective plane. Zbl 0809.14011
Dolgachev, I.; Kapranov, M.

1993

Chow polytopes and general resultants. Zbl 0780.14027
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.

1992

Hyperdeterminants. Zbl 0774.15002
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.

1992

Enhanced triangulated categories. Zbl 0729.18008
Bondal, A. I.; Kapranov, M. M.

1991

Quotients of toric varieties. Zbl 0762.14023
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.

1991

Combinatorial-geometric aspects of polycategory theory: Pasting schemes and higher Bruhat orders (list of results). Zbl 0748.18010
Kapranov, M. M.; Voevodskij, V. A.

1991

A characterization of A-discriminantal hypersurfaces in terms of logarithmic Gauss map. Zbl 0714.14031
Kapranov, M. M.

1991

Free \(n\)-category generated by a cube, oriented matroids, and higher Bruhat orders. Zbl 0766.20005
Voevodskij, V. A.; Kapranov, M. M.

1991

\(\infty\)-groupoids and homotopy types. Zbl 0754.18008
Kapranov, M. M.; Voevodskij, V. A.

1991

On DG-modules over the De Rham complex and the vanishing cycles functor. Zbl 0757.14010
Kapranov, M. M.

1991

Hypergeometric functions, toric varieties and Newton polyhedra. Zbl 0785.33008
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.

1991

Representable functors, Serre functors, and mutations. Zbl 0703.14011
Bondal, A. I.; Kapranov, M. M.

1990

Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.

1990

Equipped triangulated categories. Zbl 0719.18005
Bondal, A. I.; Kapranov, M. M.

1990

Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.

1990

Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.

1990

Discriminants of polynomials in several variables. Zbl 0719.15003
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.

1990

Homogeneous bundles. Zbl 0742.14011
Bondal, A. I.; Kapranov, M. M.

1990

A-discriminants and Cayley-Koszul complexes. Zbl 0716.13016
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.

1990

Mutations and Serre functors on constructive bundles. Zbl 0744.55003
Kapranov, M. M.

1990

\(\infty\)-groupoids as a model for a homotopy category. Zbl 0721.55015
Voevodskij, V. A.; Kapranov, M. M.

1990

Hypergeometric functions and toric varieties. (Hypergeometric functions and toral manifolds.) Zbl 0721.33006
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.

1989

Newton polyhedra of principal \(A\)-determinants. Zbl 0742.14042
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.

1989

On the derived category and K-functor of coherent sheaves on intersections of quadrics. Zbl 0679.14005
Kapranov, M. M.

1989

Projectively dual varieties and hyperdeterminants. Zbl 0715.14042
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.

1989

On the derived categories of coherent sheaves on some homogeneous spaces. Zbl 0651.18008
Kapranov, M. M.

1988

Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.

1988

On cuspidal divisors on the modular varieties of elliptic modules. Zbl 0664.14025
Kapranov, M. M.

1988

Parabolic divisors on modular varieties of elliptic modules. Zbl 0627.14032
Kapranov, M. M.

1987

The derived category of coherent sheaves on a quadric. Zbl 0607.18004
Kapranov, M. M.

1986

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