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Dmitri Orlov in nLab

Dmitri Orlov (Дмитрий Олегович Орлов) is a Russian algebraic geometer.

  • D. Orlov, Quasi-coherent sheaves in commutative and non-commutative geometry, Izv. RAN. Ser. Mat. 67:3 ( 2003)119–138 (see also preprint version dvi, ps)

  • D. O. Orlov, Derived categories of coherent sheaves and equivalences between them, Uspekhi Mat. Nauk, 2003, Vol. 58, issue 3(351), pp. 89–172, Russian pdf, transl. as Russian Mathematical Surveys (2003),58(3):511, doi link (pdf at Orlov’s webpage, not on arXiv!)

  • 5 lectures on derived categories and D-branes in Bonn, slides: djvu

  • D. Orlov, Formal completions and idempotent completions of triangulated categories of singularities, arxiv/0901.1859

  • A. Bondal, D. Orlov, Semi-orthogonal decomposition for algebraic varieties, PreprintMPI/95–15, alg-geom/9506006

  • A. Bondal, D. Orlov, Reconstruction of a variety from the derived category and groups of autoequivalences, Compositio Math. 125 (2001), 327–344 doi ; see also Bondal-Orlov reconstruction theorem

  • V. A. Lunts, D. O. Orlov, Uniqueness of enhancement for triangulated categories, arXiv:0908.4187.

  • Alexander I. Efimov, Valery A. Lunts, Dmitri O. Orlov, Deformation theory of objects in homotopy and derived categories

  • D. Orlov, Equivalences of derived categories of coherent sheaves, MSRI lectures

  • A. I. Bondal, D. O. Orlov, Derived categories of coherent sheaves, Proc. Internat. Congress of Mathematicians (Beijing, 2002)

  • A. N. Kapustin, D. O. Orlov, Lectures on mirror symmetry, derived categories, and D-branes, Uspehi Mat. Nauk 59 (2004), no. 5(359), 101–134; translation in Russian Math. Surveys 59 (2004), no. 5, 907–940, math.AG/0308173