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Kuznetsov, Aleksandr Gennad’evich

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Author ID: kuznetsov.alexander-gennadevich Recent zbMATH articles by "Kuznetsov, Aleksandr Gennad'evich"
Published as: Kuznetsov, A.; Kuznetsov, A. G.; Kuznetsov, Alexander; Kuznetsov, Alexander G.
Homepage: https://www.hse.ru/en/org/persons/26335189
External Links: MGP · Math-Net.Ru · Wikidata · GND
Awards: EMS Prize (2008)
Documents Indexed: 61 Publications since 1994

Publications by Year

Citations contained in zbMATH

53 Publications have been cited 691 times in 369 Documents Cited by Year
Homological projective duality. Zbl 1131.14017
Kuznetsov, Alexander
49
2007
Derived categories of quadric fibrations and intersections of quadrics. Zbl 1168.14012
Kuznetsov, Alexander
48
2008
Derived categories of cubic fourfolds. Zbl 1202.14012
Kuznetsov, Alexander
47
2010
Noncommutative instantons and twistor transform. Zbl 0989.81127
Kapustin, Anton; Kuznetsov, Alexander; Orlov, Dmitri
40
2001
Hyperplane sections and derived categories. Zbl 1133.14016
Kuznetsov, A. G.
37
2006
Semiorthogonal decompositions in algebraic geometry. Zbl 1373.18009
Kuznetsov, Alexander
27
2014
Lefschetz decompositions and categorical resolutions of singularities. Zbl 1156.18006
Kuznetsov, Alexander
27
2007
Categorical resolutions of irrational singularities. Zbl 1338.14020
Kuznetsov, Alexander; Lunts, Valery A.
25
2015
Derived categories of cubic and \(V_{14}\) threefolds. Zbl 1107.14028
Kuznetsov, A. G.
20
2004
Semi-infinite flags. II: Local and global intersection cohomology of quasimaps spaces. Zbl 1076.14511
Feigin, Boris; Finkelberg, Michael; Kuznetsov, Alexander; Mirković, Ivan
20
1999
Increasing trees and alternating permutations. Zbl 0842.05025
Kuznetsov, A. G.; Pak, I. M.; Postnikov, A. E.
19
1994
Symplectic structures on moduli spaces of sheaves via the Atiyah class. Zbl 1181.14049
Kuznetsov, A.; Markushevich, D.
18
2009
Quiver varieties and Hilbert schemes. Zbl 1142.14009
Kuznetsov, Alexander
17
2007
Height of exceptional collections and Hochschild cohomology of quasiphantom categories. Zbl 1331.14024
Kuznetsov, Alexander
16
2015
Exceptional collections for Grassmannians of isotropic lines. Zbl 1168.14032
Kuznetsov, Alexander
16
2008
Gushel-Mukai varieties: classification and birationalities. Zbl 1408.14053
Debarre, Olivier; Kuznetsov, Alexander
15
2018
Base change for semiorthogonal decompositions. Zbl 1218.18009
Kuznetsov, Alexander
15
2011
Derived categories of Fano threefolds. Zbl 1312.14055
Kuznetsov, A. G.
14
2009
On nodal Enriques surfaces and quartic double solids. Zbl 1408.14069
Ingalls, Colin; Kuznetsov, Alexander
13
2015
Instanton bundles on Fano threefolds. Zbl 1282.14075
Kuznetsov, Alexander
13
2012
Quiver varieties and a noncommutative \(\mathbb P_2\). Zbl 1048.14001
Baranovsky, V.; Ginzburg, V.; Kuznetsov, A.
13
2002
Hilbert schemes of lines and conics and automorphism groups of Fano threefolds. Zbl 1406.14031
Kuznetsov, Alexander G.; Prokhorov, Yuri G.; Shramov, Constantin A.
12
2018
Derived categories view on rationality problems. Zbl 1368.14029
Kuznetsov, Alexander
12
2016
Küchle fivefolds of type c5. Zbl 1352.14029
Kuznetsov, Alexander
12
2016
Derived categories of Gushel-Mukai varieties. Zbl 1401.14181
Kuznetsov, Alexander; Perry, Alexander
11
2018
Exceptional collections on isotropic Grassmannians. Zbl 1338.14021
Kuznetsov, Alexander; Polishchuk, Alexander
11
2016
Wilson’s Grassmannian and a noncommutative quadric. Zbl 1059.58006
Baranovsky, Vladimir; Ginzburg, Victor; Kuznetsov, Alexander
11
2003
On Küchle varieties with Picard number greater than 1. Zbl 1342.14087
Kuznetsov, A. G.
10
2015
Grothendieck ring of varieties, D- and L-equivalence, and families of quadrics. Zbl 1450.11036
Kuznetsov, Alexander; Shinder, Evgeny
9
2018
Derived equivalence of Ito-Miura-Okawa-Ueda Calabi-Yau 3-folds. Zbl 1423.14128
Kuznetsov, Alexander
7
2018
Scheme of lines on a family of 2-dimensional quadrics: geometry and derived category. Zbl 1295.14018
Kuznetsov, Alexander
7
2014
Derived categories of Fano threefolds \(V_{12}\). Zbl 1111.14038
Kuznetsov, A. G.
7
2005
Calabi-Yau and fractional Calabi-Yau categories. Zbl 1440.14092
Kuznetsov, Alexander
6
2019
Uhlenbeck spaces for \(\mathbb{A}^2\) and affine Lie algebra \(\widehat {\mathfrak {sl}}_n\). Zbl 1101.14014
Finkelberg, Michael; Gaitsgory, Dennis; Kuznetsov, Alexander
6
2003
A note on a symplectic structure on the space of \(G\)-monopoles. Zbl 0981.53083
Finkelberg, Michael; Kuznetsov, Alexander; Markarian, Nikita; Mirković, Ivan
6
1999
Global intersection cohomology of quasimaps’ spaces. Zbl 0890.14007
Finkelberg, Michael; Kuznetsov, Alexander
6
1997
Laumon’s resolution of Drinfeld’s compactification is small. Zbl 0910.14026
Kuznetsov, Alexander
5
1997
Derived categories of curves as components of Fano manifolds. Zbl 06850746
Fonarev, Anton; Kuznetsov, Alexander
4
2018
Exceptional collections in surface-like categories. Zbl 1398.14026
Kuznetsov, Alexander G.
4
2017
Derived categories of cyclic covers and their branch divisors. Zbl 1365.14021
Kuznetsov, Alexander; Perry, Alexander
4
2017
Abel-Jacobi maps for hypersurfaces and noncommutative Calabi-Yau’s. Zbl 1201.14031
Kuznetsov, Alexander; Manivel, Laurent; Markushevich, Dmitri
4
2010
Exceptional collection of vector bundles on \(V_{22}\) Fano threefolds. Zbl 0913.14010
Kuznetsov, A. G.
4
1996
Trees associated with the Motzkin numbers. Zbl 0860.05003
Kuznetsov, Alexander; Pak, Igor; Postnikov, Alexander
4
1996
Gushel-Mukai varieties: moduli. Zbl 07206083
Debarre, Olivier; Kuznetsov, Alexander
3
2020
Gushel-Mukai varieties: linear spaces and periods. Zbl 1440.14053
Debarre, Olivier; Kuznetsov, Alexander
3
2019
On linear sections of the spinor tenfold. I. Zbl 1420.14094
Kuznetsov, A. G.
3
2018
Towards a cluster structure on trigonometric zastava. Zbl 1423.13122
Finkelberg, Michael; Kuznetsov, Alexander; Rybnikov, Leonid; Dobrovolska, Galyna
3
2018
On residual categories for Grassmannians. Zbl 07194979
Kuznetsov, Alexander; Smirnov, Maxim
2
2020
Erratum to: “A note on a symplectic structure on the space of \(G\)-monopoles”. Zbl 1315.53095
Finkelberg, Michael; Kuznetsov, Alexander; Markarian, Nikita; Mirković, Ivan
2
2015
Coble fourfold, \(\mathfrak{S}_6\)-invariant quartic threefolds, and Wiman-Edge sextics. Zbl 07180786
Cheltsov, Ivan; Kuznetsov, Alexander; Shramov, Konstantin
1
2020
Embedding derived categories of Enriques surfaces in derived categories of Fano varieties. Zbl 1427.14040
Kuznetsov, A. G.
1
2019
Refined blowups. Zbl 1359.14017
Kaledin, D.; Kuznetsov, A.
1
2015
Parabolic sheaves on surfaces and affine Lie algebra \(\widehat{{\mathfrak gl}}_n\). Zbl 0999.17034
Finkelberg, Michael; Kuznetsov, Alexander
1
2000
Gushel-Mukai varieties: moduli. Zbl 07206083
Debarre, Olivier; Kuznetsov, Alexander
3
2020
On residual categories for Grassmannians. Zbl 07194979
Kuznetsov, Alexander; Smirnov, Maxim
2
2020
Coble fourfold, \(\mathfrak{S}_6\)-invariant quartic threefolds, and Wiman-Edge sextics. Zbl 07180786
Cheltsov, Ivan; Kuznetsov, Alexander; Shramov, Konstantin
1
2020
Calabi-Yau and fractional Calabi-Yau categories. Zbl 1440.14092
Kuznetsov, Alexander
6
2019
Gushel-Mukai varieties: linear spaces and periods. Zbl 1440.14053
Debarre, Olivier; Kuznetsov, Alexander
3
2019
Embedding derived categories of Enriques surfaces in derived categories of Fano varieties. Zbl 1427.14040
Kuznetsov, A. G.
1
2019
Gushel-Mukai varieties: classification and birationalities. Zbl 1408.14053
Debarre, Olivier; Kuznetsov, Alexander
15
2018
Hilbert schemes of lines and conics and automorphism groups of Fano threefolds. Zbl 1406.14031
Kuznetsov, Alexander G.; Prokhorov, Yuri G.; Shramov, Constantin A.
12
2018
Derived categories of Gushel-Mukai varieties. Zbl 1401.14181
Kuznetsov, Alexander; Perry, Alexander
11
2018
Grothendieck ring of varieties, D- and L-equivalence, and families of quadrics. Zbl 1450.11036
Kuznetsov, Alexander; Shinder, Evgeny
9
2018
Derived equivalence of Ito-Miura-Okawa-Ueda Calabi-Yau 3-folds. Zbl 1423.14128
Kuznetsov, Alexander
7
2018
Derived categories of curves as components of Fano manifolds. Zbl 06850746
Fonarev, Anton; Kuznetsov, Alexander
4
2018
On linear sections of the spinor tenfold. I. Zbl 1420.14094
Kuznetsov, A. G.
3
2018
Towards a cluster structure on trigonometric zastava. Zbl 1423.13122
Finkelberg, Michael; Kuznetsov, Alexander; Rybnikov, Leonid; Dobrovolska, Galyna
3
2018
Exceptional collections in surface-like categories. Zbl 1398.14026
Kuznetsov, Alexander G.
4
2017
Derived categories of cyclic covers and their branch divisors. Zbl 1365.14021
Kuznetsov, Alexander; Perry, Alexander
4
2017
Derived categories view on rationality problems. Zbl 1368.14029
Kuznetsov, Alexander
12
2016
Küchle fivefolds of type c5. Zbl 1352.14029
Kuznetsov, Alexander
12
2016
Exceptional collections on isotropic Grassmannians. Zbl 1338.14021
Kuznetsov, Alexander; Polishchuk, Alexander
11
2016
Categorical resolutions of irrational singularities. Zbl 1338.14020
Kuznetsov, Alexander; Lunts, Valery A.
25
2015
Height of exceptional collections and Hochschild cohomology of quasiphantom categories. Zbl 1331.14024
Kuznetsov, Alexander
16
2015
On nodal Enriques surfaces and quartic double solids. Zbl 1408.14069
Ingalls, Colin; Kuznetsov, Alexander
13
2015
On Küchle varieties with Picard number greater than 1. Zbl 1342.14087
Kuznetsov, A. G.
10
2015
Erratum to: “A note on a symplectic structure on the space of \(G\)-monopoles”. Zbl 1315.53095
Finkelberg, Michael; Kuznetsov, Alexander; Markarian, Nikita; Mirković, Ivan
2
2015
Refined blowups. Zbl 1359.14017
Kaledin, D.; Kuznetsov, A.
1
2015
Semiorthogonal decompositions in algebraic geometry. Zbl 1373.18009
Kuznetsov, Alexander
27
2014
Scheme of lines on a family of 2-dimensional quadrics: geometry and derived category. Zbl 1295.14018
Kuznetsov, Alexander
7
2014
Instanton bundles on Fano threefolds. Zbl 1282.14075
Kuznetsov, Alexander
13
2012
Base change for semiorthogonal decompositions. Zbl 1218.18009
Kuznetsov, Alexander
15
2011
Derived categories of cubic fourfolds. Zbl 1202.14012
Kuznetsov, Alexander
47
2010
Abel-Jacobi maps for hypersurfaces and noncommutative Calabi-Yau’s. Zbl 1201.14031
Kuznetsov, Alexander; Manivel, Laurent; Markushevich, Dmitri
4
2010
Symplectic structures on moduli spaces of sheaves via the Atiyah class. Zbl 1181.14049
Kuznetsov, A.; Markushevich, D.
18
2009
Derived categories of Fano threefolds. Zbl 1312.14055
Kuznetsov, A. G.
14
2009
Derived categories of quadric fibrations and intersections of quadrics. Zbl 1168.14012
Kuznetsov, Alexander
48
2008
Exceptional collections for Grassmannians of isotropic lines. Zbl 1168.14032
Kuznetsov, Alexander
16
2008
Homological projective duality. Zbl 1131.14017
Kuznetsov, Alexander
49
2007
Lefschetz decompositions and categorical resolutions of singularities. Zbl 1156.18006
Kuznetsov, Alexander
27
2007
Quiver varieties and Hilbert schemes. Zbl 1142.14009
Kuznetsov, Alexander
17
2007
Hyperplane sections and derived categories. Zbl 1133.14016
Kuznetsov, A. G.
37
2006
Derived categories of Fano threefolds \(V_{12}\). Zbl 1111.14038
Kuznetsov, A. G.
7
2005
Derived categories of cubic and \(V_{14}\) threefolds. Zbl 1107.14028
Kuznetsov, A. G.
20
2004
Wilson’s Grassmannian and a noncommutative quadric. Zbl 1059.58006
Baranovsky, Vladimir; Ginzburg, Victor; Kuznetsov, Alexander
11
2003
Uhlenbeck spaces for \(\mathbb{A}^2\) and affine Lie algebra \(\widehat {\mathfrak {sl}}_n\). Zbl 1101.14014
Finkelberg, Michael; Gaitsgory, Dennis; Kuznetsov, Alexander
6
2003
Quiver varieties and a noncommutative \(\mathbb P_2\). Zbl 1048.14001
Baranovsky, V.; Ginzburg, V.; Kuznetsov, A.
13
2002
Noncommutative instantons and twistor transform. Zbl 0989.81127
Kapustin, Anton; Kuznetsov, Alexander; Orlov, Dmitri
40
2001
Parabolic sheaves on surfaces and affine Lie algebra \(\widehat{{\mathfrak gl}}_n\). Zbl 0999.17034
Finkelberg, Michael; Kuznetsov, Alexander
1
2000
Semi-infinite flags. II: Local and global intersection cohomology of quasimaps spaces. Zbl 1076.14511
Feigin, Boris; Finkelberg, Michael; Kuznetsov, Alexander; Mirković, Ivan
20
1999
A note on a symplectic structure on the space of \(G\)-monopoles. Zbl 0981.53083
Finkelberg, Michael; Kuznetsov, Alexander; Markarian, Nikita; Mirković, Ivan
6
1999
Global intersection cohomology of quasimaps’ spaces. Zbl 0890.14007
Finkelberg, Michael; Kuznetsov, Alexander
6
1997
Laumon’s resolution of Drinfeld’s compactification is small. Zbl 0910.14026
Kuznetsov, Alexander
5
1997
Exceptional collection of vector bundles on \(V_{22}\) Fano threefolds. Zbl 0913.14010
Kuznetsov, A. G.
4
1996
Trees associated with the Motzkin numbers. Zbl 0860.05003
Kuznetsov, Alexander; Pak, Igor; Postnikov, Alexander
4
1996
Increasing trees and alternating permutations. Zbl 0842.05025
Kuznetsov, A. G.; Pak, I. M.; Postnikov, A. E.
19
1994
all top 5

Cited by 409 Authors

25 Kuznetsov, Aleksandr Gennad’evich
13 Finkelberg, Michael Vladlenovich
12 Tabuada, Gonçalo
10 Katzarkov, Ludmil
7 Bernardara, Marcello
7 Faenzi, Daniele
7 Manivel, Laurent
7 Szabo, Richard J.
7 Van den Bergh, Michel
6 Ballard, Matthew Robert
6 Macrì, Emanuele
6 Przhiyalkovskiĭ, Viktor Vladimirovich
6 Rybnikov, Leonid Grigor’evich
6 Sharpe, Eric R.
6 Shramov, Konstantin Aleksandrovich
5 Borisov, Lev A.
5 Bruzzo, Ugo
5 Favero, David
5 Stellari, Paolo
4 Addington, Nicolas M.
4 Bartocci, Claudio
4 Böhning, Christian
4 Bolognesi, Michele
4 Braverman, Alexander
4 Debarre, Olivier
4 Efimov, Alexander I.
4 Ginzburg, Victor
4 Graf von Bothmer, Hans-Christian
4 Hosono, Shinobu
4 Huybrechts, Daniel
4 Lee, Kyoung-Seog
4 Nevins, Thomas Andrew
4 Orlov, Dmitri O.
4 Perry, Alexander R.
4 Rava, Claudio L. S.
4 Sosna, Pawel
4 Takagi, Hiromichi
4 Voisin, Claire
3 Auel, Asher Natan
3 Belmans, Pieter
3 Burban, Igor
3 Casnati, Gianfranco
3 Chalykh, Oleg A.
3 Costa, Laura
3 Feĭgin, Boris L’vovich
3 Gaitsgory, Dennis
3 Harder, Andrew
3 Hassett, Brendan
3 Kalck, Martin
3 Krug, Andreas
3 Lanza, Valeriano
3 Laterveer, Robert
3 Malaspina, Francesco
3 Mirò-Roig, Rosa Maria
3 Polishchuk, Alexander Evgen’evich
3 Prokhorov, Yuriĭ Gennad’evich
3 Sala, Francesco
3 Segal, Ed
3 Shinder, Evgeny
3 Špenko, Špela
3 Thomas, Richard Paul
2 Aspinwall, Paul S.
2 Baranovsky, Vladimir
2 Ben-Zvi, David
2 Berest, Yuri Yu.
2 Căldăraru, Andrei
2 Campbell, Justin
2 Canonaco, Alberto
2 Chung, Kiryong
2 Cirio, Lucio Simone
2 de Fernex, Tommaso
2 Deliu, Dragos
2 Diaconescu, Duiliu-Emanuel
2 Dobrovolska, Galyna
2 Drozd, Yuriĭ Anatoliĭovych
2 Fan, Huijun
2 Fatighenti, Enrico
2 Foata, Dominique C.
2 Fonarev, A. V.
2 Fu, Baohua
2 Galkin, Sergeĭ
2 Gavran, Volodymyr S.
2 Gerasimov, Anton A.
2 Gorchinskiĭ, Sergeĭ Olegovich
2 Han, Guo-Niu
2 Hernández Ruipérez, Daniel
2 Hochenegger, Andreas
2 Iliev, Atanas Iliev
2 Ito, Atsushi M.
2 Jarvis, Tyler J.
2 Kaledin, Dmitry B.
2 Kapustka, Michał
2 Kato, Syu
2 Kuba, Markus F.
2 Landi, Giovanni
2 Lechtenfeld, Olaf
2 Lehn, Manfred
2 Liu, Yijia
2 López Martín, Ana Cristina
2 Markushevich, Dimitri Genrikhovich
...and 309 more Authors
all top 5

Cited in 96 Serials

46 Advances in Mathematics
16 Journal of Algebra
15 Compositio Mathematica
15 Journal of Pure and Applied Algebra
15 Selecta Mathematica. New Series
14 Journal of Geometry and Physics
11 Mathematische Zeitschrift
10 Journal of High Energy Physics
9 Mathematische Annalen
8 Journal für die Reine und Angewandte Mathematik
7 Communications in Mathematical Physics
7 Annales de l’Institut Fourier
7 Duke Mathematical Journal
7 Journal of the European Mathematical Society (JEMS)
6 Inventiones Mathematicae
6 Proceedings of the American Mathematical Society
6 Izvestiya: Mathematics
5 Manuscripta Mathematica
5 Transactions of the American Mathematical Society
5 Journal of the American Mathematical Society
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 European Journal of Mathematics
4 International Journal of Modern Physics A
4 Discrete Mathematics
4 Publications Mathématiques
4 International Journal of Mathematics
4 Journal of Algebraic Geometry
4 Documenta Mathematica
4 Central European Journal of Mathematics
4 Proceedings of the Steklov Institute of Mathematics
3 Russian Mathematical Surveys
3 Journal of Combinatorial Theory. Series A
3 European Journal of Combinatorics
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Journal of Noncommutative Geometry
3 Kyoto Journal of Mathematics
2 Journal of Mathematical Physics
2 Reviews in Mathematical Physics
2 Collectanea Mathematica
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Advances in Applied Mathematics
2 Bulletin of the Korean Mathematical Society
2 Linear Algebra and its Applications
2 Sbornik: Mathematics
2 Journal of the Institute of Mathematics of Jussieu
2 Research in the Mathematical Sciences
1 General Relativity and Gravitation
1 Letters in Mathematical Physics
1 Mathematical Notes
1 Nuclear Physics. B
1 Physics Letters. B
1 Physics Reports
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin of the London Mathematical Society
1 Commentarii Mathematici Helvetici
1 Geometriae Dedicata
1 Indiana University Mathematics Journal
1 Journal of Graph Theory
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Nachrichten
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Rendiconti del Seminario Matematico della Università di Padova
1 Tokyo Journal of Mathematics
1 Journal of Information & Optimization Sciences
1 Chinese Annals of Mathematics. Series B
1 Forum Mathematicum
1 Random Structures & Algorithms
1 Aequationes Mathematicae
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Applied Categorical Structures
1 Transformation Groups
1 Taiwanese Journal of Mathematics
1 Geometry & Topology
1 Algebras and Representation Theory
1 Annals of Combinatorics
1 Acta Mathematica Sinica. English Series
1 Communications in Contemporary Mathematics
1 Journal of Algebra and its Applications
1 International Journal of Geometric Methods in Modern Physics
1 AKCE International Journal of Graphs and Combinatorics
1 Journal of Homotopy and Related Structures
1 Journal of \(K\)-Theory
1 Japanese Journal of Mathematics. 3rd Series
1 Advances in Mathematical Physics
1 Science China. Mathematics
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Bulletin of Mathematical Sciences
1 Annals of \(K\)-Theory
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Annales Henri Lebesgue

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