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## Orlov, Dmitri O.

Compute Distance To:
 Author ID: orlov.dmitri-o Published as: Orlov, D. O.; Orlov, Dmitri; Orlov, Dmitri O.; Orlov, D.; Orlov, Dmitriĭ O. External Links: MGP · ORCID · Wikidata
 Documents Indexed: 55 Publications since 1989
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#### Serials

 17 Russian Mathematical Surveys 6 Advances in Mathematics 3 Izvestiya: Mathematics 2 Communications in Mathematical Physics 2 Moscow University Mathematics Bulletin 2 Mathematische Annalen 2 Journal of the American Mathematical Society 2 Russian Academy of Sciences. Izvestiya. Mathematics 2 Annals of Mathematics. Second Series 1 Journal of Geometry and Physics 1 Compositio Mathematica 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Journal of Algebraic Geometry 1 Journal of Mathematical Sciences (New York) 1 Sbornik: Mathematics 1 Matemática Contemporânea 1 Moscow Mathematical Journal 1 Central European Journal of Mathematics 1 Chebyshevskiĭ Sbornik 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Noncommutative Geometry
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#### Fields

 37 Algebraic geometry (14-XX) 28 Category theory; homological algebra (18-XX) 12 History and biography (01-XX) 8 Quantum theory (81-XX) 7 Associative rings and algebras (16-XX) 4 Differential geometry (53-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Algebraic topology (55-XX) 2 Nonassociative rings and algebras (17-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 $$K$$-theory (19-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

41 Publications have been cited 1,351 times in 901 Documents Cited by Year
Triangulated categories of singularities and D-branes in Landau-Ginzburg models. Zbl 1101.81093
Orlov, D. O.
2004
Equivalences of derived categories and $$K3$$ surfaces. Zbl 0938.14019
Orlov, D. O.
1997
Derived categories of coherent sheaves and triangulated categories of singularities. Zbl 1200.18007
Orlov, Dmitri
2009
Reconstruction of a variety from the derived category and groups of autoequivalences. Zbl 0994.18007
Bondal, Alexey; Orlov, Dmitri
2001
Uniqueness of enhancement for triangulated categories. Zbl 1197.14014
Lunts, Valery A.; Orlov, Dmitri O.
2010
An exact sequence for $$K^M_*/2$$ with applications to quadratic forms. Zbl 1124.14017
Orlov, D.; Vishik, A.; Voevodsky, V.
2007
Derived categories of coherent sheaves. Zbl 0996.18007
Bondal, A.; Orlov, D.
2002
Mirror symmetry for weighted projective planes and their noncommutative deformations. Zbl 1175.14030
Auroux, Denis; Katzarkov, Ludmil; Orlov, Dmitri
2008
Projective bundles, monoidal transformations, and derived categories of coherent sheaves. Zbl 0798.14007
Orlov, D. O.
1992
Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves. Zbl 1110.14033
Auroux, Denis; Katzarkov, Ludmil; Orlov, Dmitri
2006
Noncommutative instantons and twistor transform. Zbl 0989.81127
Kapustin, Anton; Kuznetsov, Alexander; Orlov, Dmitri
2001
Remarks on A-branes, mirror symmetry, and the Fukaya category. Zbl 1029.81058
Kapustin, Anton; Orlov, Dmitri
2003
Triangulated categories of singularities and equivalences between Landau-Ginzburg models. Zbl 1161.14301
Orlov, D. O.
2006
Smooth and proper noncommutative schemes and gluing of dg categories. Zbl 1368.14031
Orlov, Dmitri
2016
Derived categories of coherent sheaves on abelian varieties and equivalences between them. Zbl 1031.18007
Orlov, D. O.
2002
Formal completions and idempotent completions of triangulated categories of singularities. Zbl 1216.18012
Orlov, Dmitri
2011
Vertex algebras, mirror symmetry, and D-branes: the case of complex tori. Zbl 1051.17017
Kapustin, Anton; Orlov, Dmitri
2003
Exceptional sheaves on del Pezzo surfaces. Zbl 0842.14009
Kuleshov, S. A.; Orlov, D. O.
1994
Matrix factorizations for nonaffine LG-models. Zbl 1243.81178
Orlov, Dmitri
2012
Homological mirror symmetry for punctured spheres. Zbl 1276.53089
Abouzaid, Mohammed; Auroux, Denis; Efimov, Alexander I.; Katzarkov, Ludmil; Orlov, Dmitri
2013
Geometric phantom categories. Zbl 1285.14018
Gorchinskiy, Sergey; Orlov, Dmitri
2013
Derived categories of coherent sheaves and motives. Zbl 1146.18302
Orlov, D. O.
2005
Derived categories of coherent sheaves and equivalences between them. Zbl 1118.14021
Orlov, D. O.
2003
Homological mirror symmetry for manifolds of general type. Zbl 1200.53079
Kapustin, Anton; Katzarkov, Ludmil; Orlov, Dmitri; Yotov, Mirroslav
2009
Derived categories of Burniat surfaces and exceptional collections. Zbl 1282.14030
Alexeev, Valery; Orlov, Dmitri
2013
Remarks on generators and dimensions of triangulated categories. Zbl 1197.18004
Orlov, Dmitri
2009
Deformation theory of objects in homotopy and derived categories. I: General theory. Zbl 1180.18006
Efimov, Alexander I.; Lunts, Valery A.; Orlov, Dmitri O.
2009
Mirror symmetry for abelian varieties. Zbl 1014.14020
Golyshev, V.; Lunts, V.; Orlov, D.
2001
Lectures on mirror symmetry, derived categories, and D-branes. Zbl 1074.14036
Kapustin, A. N.; Orlov, D. O.
2004
Geometric realizations of quiver algebras. Zbl 1348.14050
Orlov, Dmitri O.
2015
Does full imply faithful? Zbl 1276.14026
Canonaco, Alberto; Orlov, Dmitri; Stellari, Paolo
2013
Deformation theory of objects in homotopy and derived categories. II: Pro-representability of the deformation functor. Zbl 1197.18003
Efimov, Alexander I.; Lunts, Valery A.; Orlov, Dmitri O.
2010
Deformation theory of objects in homotopy and derived categories. III: Abelian categories. Zbl 1225.18009
Efimov, Alexander I.; Lunts, Valery A.; Orlov, Dmitri O.
2011
Exceptional collection of vector bundles on the manifold $$V_ 5$$. Zbl 0753.14012
Orlov, D. O.
1991
Landau-Ginzburg models, D-branes and mirror symmetry. Zbl 1297.14019
Orlov, Dmitri
2012
An exceptional collection of vector bundles on the threefold $$V_ 5$$. Zbl 0784.14010
Orlov, D. O.
1991
Quasicoherent sheaves in commutative and noncommutative geometry. Zbl 1077.14021
Orlov, D. O.
2003
Derived noncommutative schemes, geometric realizations, and finite dimensional algebras. Zbl 1430.14006
Orlov, Dmitriĭ O.
2018
Gluing of categories and Krull-Schmidt partners. Zbl 1358.18004
Orlov, D. O.
2016
Finite-dimensional DG algebras and their properties. Zbl 07179269
Orlov, D. O.
2019
Finite-dimensional differential graded algebras and their geometric realizations. Zbl 07183750
Orlov, Dmitri
2020
Finite-dimensional differential graded algebras and their geometric realizations. Zbl 07183750
Orlov, Dmitri
2020
Finite-dimensional DG algebras and their properties. Zbl 07179269
Orlov, D. O.
2019
Derived noncommutative schemes, geometric realizations, and finite dimensional algebras. Zbl 1430.14006
Orlov, Dmitriĭ O.
2018
Smooth and proper noncommutative schemes and gluing of dg categories. Zbl 1368.14031
Orlov, Dmitri
2016
Gluing of categories and Krull-Schmidt partners. Zbl 1358.18004
Orlov, D. O.
2016
Geometric realizations of quiver algebras. Zbl 1348.14050
Orlov, Dmitri O.
2015
Homological mirror symmetry for punctured spheres. Zbl 1276.53089
Abouzaid, Mohammed; Auroux, Denis; Efimov, Alexander I.; Katzarkov, Ludmil; Orlov, Dmitri
2013
Geometric phantom categories. Zbl 1285.14018
Gorchinskiy, Sergey; Orlov, Dmitri
2013
Derived categories of Burniat surfaces and exceptional collections. Zbl 1282.14030
Alexeev, Valery; Orlov, Dmitri
2013
Does full imply faithful? Zbl 1276.14026
Canonaco, Alberto; Orlov, Dmitri; Stellari, Paolo
2013
Matrix factorizations for nonaffine LG-models. Zbl 1243.81178
Orlov, Dmitri
2012
Landau-Ginzburg models, D-branes and mirror symmetry. Zbl 1297.14019
Orlov, Dmitri
2012
Formal completions and idempotent completions of triangulated categories of singularities. Zbl 1216.18012
Orlov, Dmitri
2011
Deformation theory of objects in homotopy and derived categories. III: Abelian categories. Zbl 1225.18009
Efimov, Alexander I.; Lunts, Valery A.; Orlov, Dmitri O.
2011
Uniqueness of enhancement for triangulated categories. Zbl 1197.14014
Lunts, Valery A.; Orlov, Dmitri O.
2010
Deformation theory of objects in homotopy and derived categories. II: Pro-representability of the deformation functor. Zbl 1197.18003
Efimov, Alexander I.; Lunts, Valery A.; Orlov, Dmitri O.
2010
Derived categories of coherent sheaves and triangulated categories of singularities. Zbl 1200.18007
Orlov, Dmitri
2009
Homological mirror symmetry for manifolds of general type. Zbl 1200.53079
Kapustin, Anton; Katzarkov, Ludmil; Orlov, Dmitri; Yotov, Mirroslav
2009
Remarks on generators and dimensions of triangulated categories. Zbl 1197.18004
Orlov, Dmitri
2009
Deformation theory of objects in homotopy and derived categories. I: General theory. Zbl 1180.18006
Efimov, Alexander I.; Lunts, Valery A.; Orlov, Dmitri O.
2009
Mirror symmetry for weighted projective planes and their noncommutative deformations. Zbl 1175.14030
Auroux, Denis; Katzarkov, Ludmil; Orlov, Dmitri
2008
An exact sequence for $$K^M_*/2$$ with applications to quadratic forms. Zbl 1124.14017
Orlov, D.; Vishik, A.; Voevodsky, V.
2007
Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves. Zbl 1110.14033
Auroux, Denis; Katzarkov, Ludmil; Orlov, Dmitri
2006
Triangulated categories of singularities and equivalences between Landau-Ginzburg models. Zbl 1161.14301
Orlov, D. O.
2006
Derived categories of coherent sheaves and motives. Zbl 1146.18302
Orlov, D. O.
2005
Triangulated categories of singularities and D-branes in Landau-Ginzburg models. Zbl 1101.81093
Orlov, D. O.
2004
Lectures on mirror symmetry, derived categories, and D-branes. Zbl 1074.14036
Kapustin, A. N.; Orlov, D. O.
2004
Remarks on A-branes, mirror symmetry, and the Fukaya category. Zbl 1029.81058
Kapustin, Anton; Orlov, Dmitri
2003
Vertex algebras, mirror symmetry, and D-branes: the case of complex tori. Zbl 1051.17017
Kapustin, Anton; Orlov, Dmitri
2003
Derived categories of coherent sheaves and equivalences between them. Zbl 1118.14021
Orlov, D. O.
2003
Quasicoherent sheaves in commutative and noncommutative geometry. Zbl 1077.14021
Orlov, D. O.
2003
Derived categories of coherent sheaves. Zbl 0996.18007
Bondal, A.; Orlov, D.
2002
Derived categories of coherent sheaves on abelian varieties and equivalences between them. Zbl 1031.18007
Orlov, D. O.
2002
Reconstruction of a variety from the derived category and groups of autoequivalences. Zbl 0994.18007
Bondal, Alexey; Orlov, Dmitri
2001
Noncommutative instantons and twistor transform. Zbl 0989.81127
Kapustin, Anton; Kuznetsov, Alexander; Orlov, Dmitri
2001
Mirror symmetry for abelian varieties. Zbl 1014.14020
Golyshev, V.; Lunts, V.; Orlov, D.
2001
Equivalences of derived categories and $$K3$$ surfaces. Zbl 0938.14019
Orlov, D. O.
1997
Exceptional sheaves on del Pezzo surfaces. Zbl 0842.14009
Kuleshov, S. A.; Orlov, D. O.
1994
Projective bundles, monoidal transformations, and derived categories of coherent sheaves. Zbl 0798.14007
Orlov, D. O.
1992
Exceptional collection of vector bundles on the manifold $$V_ 5$$. Zbl 0753.14012
Orlov, D. O.
1991
An exceptional collection of vector bundles on the threefold $$V_ 5$$. Zbl 0784.14010
Orlov, D. O.
1991
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#### Cited by 828 Authors

 25 Katzarkov, Ludmil 24 Tabuada, Gonçalo 19 Orlov, Dmitri O. 18 Stellari, Paolo 17 Polishchuk, Alexander Evgen’evich 13 Kuznetsov, Aleksandr Gennad’evich 13 Lunts, Valery A. 12 Ballard, Matthew Robert 12 Chen, Xiaowu 11 Favero, David 11 Ueda, Kazushi 11 Van den Bergh, Michel 9 Bernardara, Marcello 9 Efimov, Alexander I. 9 Lu, Ming 9 Macrì, Emanuele 8 Canonaco, Alberto 8 Fasel, Jean 8 Huybrechts, Daniel 8 Kalck, Martin 8 Lee, Kyoung-Seog 8 Li, Huanhuan 8 Smith, Ivan 8 Sosna, Pawel 7 Harder, Andrew 7 Schnürer, Olaf M. 7 Yoshioka, Kōta 6 Bayer, Arend 6 Bridgeland, Tom 6 Kerr, Gabriel 6 López Martín, Ana Cristina 6 Nadler, David 6 Ploog, David 6 Positselski, Leonid Efimovich 6 Psaroudakis, Chrysostomos 6 Sheridan, Nick 6 Takahashi, Atsushi 6 Zhang, Pu 5 Abouzaid, Mohammed 5 Asok, Aravind 5 Becher, Karim Johannes 5 Hochenegger, Andreas 5 Przhiyalkovskiĭ, Viktor Vladimirovich 5 Stevenson, Greg 5 Takahashi, Ryo 5 Wemyss, Michael 5 Yagita, Nobuaki 5 Zhang, James J. 4 Antieau, Benjamin 4 Aspinwall, Paul S. 4 Auroux, Denis 4 Belmans, Pieter 4 Bergh, Daniel 4 Bocklandt, Raf 4 Bondal, Alexey I. 4 Chen, Xinhong 4 Chiodo, Alessandro 4 Cho, Cheol-Hyun 4 Di, Zhenxing 4 Diemer, Colin 4 Futaki, Masahiro 4 Halpern-Leistner, Daniel 4 Hirano, Yuki 4 Huang, Zhaoyong 4 Iyama, Osamu 4 Kajiura, Hiroshige 4 Kaledin, Dmitry B. 4 Kapustin, Anton 4 Karp, Robert L. 4 Kawamata, Yujiro 4 Liu, Zhong-kui 4 Mináč, Ján 4 Minasian, Ruben 4 Rizzardo, Alice 4 Ruan, Yongbin 4 Sancho de Salas, Fernando 4 Segal, Ed 4 Seidel, Paul 4 Shinder, Evgeny 4 Sibilla, Nicolò 4 Szabo, Richard J. 4 Toda, Yukinobu 4 Toën, Bertrand 4 Uehara, Hokuto 4 Walcher, Johannes 3 Addington, Nicolas M. 3 Ben-Bassat, Oren 3 Ben-Zvi, David 3 Bodzenta, Agnieszka 3 Böhning, Christian 3 Bolognesi, Michele 3 Borisov, Lev A. 3 Buchweitz, Ragnar-Olaf 3 Bullimore, Mathew Richard 3 Chalykh, Oleg A. 3 Chan, Kwokwai 3 Costa, Laura 3 Craw, Alastair 3 Deliu, Dragos 3 Dell’Ambrogio, Ivo ...and 728 more Authors
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#### Cited in 135 Serials

 101 Advances in Mathematics 69 Journal of Algebra 32 Communications in Mathematical Physics 31 Journal of Geometry and Physics 30 Compositio Mathematica 29 Transactions of the American Mathematical Society 28 Duke Mathematical Journal 27 Journal of High Energy Physics 26 Proceedings of the American Mathematical Society 26 Selecta Mathematica. New Series 25 Journal of Pure and Applied Algebra 24 Mathematische Zeitschrift 21 Mathematische Annalen 15 Inventiones Mathematicae 14 Journal of Algebraic Geometry 13 Journal of Mathematical Physics 13 Nuclear Physics. B 13 Manuscripta Mathematica 13 Algebras and Representation Theory 10 Journal of the European Mathematical Society (JEMS) 10 Journal of Noncommutative Geometry 8 Annales de l’Institut Fourier 8 Publications Mathématiques 8 Journal of the American Mathematical Society 8 Documenta Mathematica 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Kyoto Journal of Mathematics 7 Russian Mathematical Surveys 7 International Journal of Mathematics 7 Izvestiya: Mathematics 7 Proceedings of the Steklov Institute of Mathematics 7 European Journal of Mathematics 6 International Journal of Modern Physics A 6 Communications in Algebra 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Bulletin of the London Mathematical Society 6 Journal of $$K$$-Theory 5 Mathematical Notes 5 Geometry & Topology 5 Science China. Mathematics 4 Letters in Mathematical Physics 4 Journal of the London Mathematical Society. Second Series 4 Journal für die Reine und Angewandte Mathematik 4 Geometric and Functional Analysis. GAFA 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Expositiones Mathematicae 4 Annals of Mathematics. Second Series 4 Central European Journal of Mathematics 4 Journal of the Institute of Mathematics of Jussieu 4 Journal of Algebra and its Applications 4 Forum of Mathematics, Sigma 4 Research in the Mathematical Sciences 3 Archiv der Mathematik 3 Journal of the Mathematical Society of Japan 3 Mathematische Nachrichten 3 Memoirs of the American Mathematical Society 3 Michigan Mathematical Journal 3 Nagoya Mathematical Journal 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Sugaku Expositions 3 Bulletin of the American Mathematical Society. New Series 3 Applied Categorical Structures 3 Journal of Mathematical Sciences (New York) 3 International Journal of Geometric Methods in Modern Physics 3 Journal of Homotopy and Related Structures 3 Journal of Topology 2 Reviews in Mathematical Physics 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Commentarii Mathematici Helvetici 2 Fundamenta Mathematicae 2 Geometriae Dedicata 2 Rendiconti del Seminario Matematico della Università di Padova 2 Bulletin of the Korean Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Differential Geometry and its Applications 2 Sbornik: Mathematics 2 Acta Mathematica Sinica. English Series 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Commutative Algebra 2 Annals of $$K$$-Theory 1 General Relativity and Gravitation 1 Physics Reports 1 Arkiv för Matematik 1 Fortschritte der Physik 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Colloquium Mathematicum 1 Glasgow Mathematical Journal 1 Journal of the Korean Mathematical Society 1 Kodai Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Tohoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Topology and its Applications 1 Ergodic Theory and Dynamical Systems 1 Boletim da Sociedade Portuguesa de Matemática ...and 35 more Serials
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#### Cited in 34 Fields

 623 Algebraic geometry (14-XX) 338 Category theory; homological algebra (18-XX) 194 Associative rings and algebras (16-XX) 140 Differential geometry (53-XX) 108 Quantum theory (81-XX) 71 $$K$$-theory (19-XX) 70 Commutative algebra (13-XX) 47 Several complex variables and analytic spaces (32-XX) 46 Number theory (11-XX) 34 Algebraic topology (55-XX) 30 Manifolds and cell complexes (57-XX) 23 Nonassociative rings and algebras (17-XX) 23 Relativity and gravitational theory (83-XX) 20 Global analysis, analysis on manifolds (58-XX) 19 Group theory and generalizations (20-XX) 17 Field theory and polynomials (12-XX) 10 Partial differential equations (35-XX) 7 Functional analysis (46-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 History and biography (01-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Convex and discrete geometry (52-XX) 3 Topological groups, Lie groups (22-XX) 2 Combinatorics (05-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX)

#### Wikidata Timeline

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