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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: 58 Publications since 1994

Publications by Year

Citations contained in zbMATH

54 Publications have been cited 729 times in 389 Documents Cited by Year
Derived categories of cubic fourfolds. Zbl 1202.14012
Kuznetsov, Alexander
50
2010
Homological projective duality. Zbl 1131.14017
Kuznetsov, Alexander
50
2007
Derived categories of quadric fibrations and intersections of quadrics. Zbl 1168.14012
Kuznetsov, Alexander
49
2008
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.
38
2006
Semiorthogonal decompositions in algebraic geometry. Zbl 1373.18009
Kuznetsov, Alexander
28
2014
Lefschetz decompositions and categorical resolutions of singularities. Zbl 1156.18006
Kuznetsov, Alexander
28
2007
Categorical resolutions of irrational singularities. Zbl 1338.14020
Kuznetsov, Alexander; Lunts, Valery A.
26
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.
20
1994
Base change for semiorthogonal decompositions. Zbl 1218.18009
Kuznetsov, Alexander
18
2011
Symplectic structures on moduli spaces of sheaves via the Atiyah class. Zbl 1181.14049
Kuznetsov, A.; Markushevich, D.
18
2009
Gushel-Mukai varieties: classification and birationalities. Zbl 1408.14053
Debarre, Olivier; Kuznetsov, Alexander
17
2018
Height of exceptional collections and Hochschild cohomology of quasiphantom categories. Zbl 1331.14024
Kuznetsov, Alexander
17
2015
Exceptional collections for Grassmannians of isotropic lines. Zbl 1168.14032
Kuznetsov, Alexander
17
2008
Quiver varieties and Hilbert schemes. Zbl 1142.14009
Kuznetsov, Alexander
17
2007
Hilbert schemes of lines and conics and automorphism groups of Fano threefolds. Zbl 1406.14031
Kuznetsov, Alexander G.; Prokhorov, Yuri G.; Shramov, Constantin A.
14
2018
Instanton bundles on Fano threefolds. Zbl 1282.14075
Kuznetsov, Alexander
14
2012
Derived categories of Fano threefolds. Zbl 1312.14055
Kuznetsov, A. G.
14
2009
Derived categories of Gushel-Mukai varieties. Zbl 1401.14181
Kuznetsov, Alexander; Perry, Alexander
13
2018
On nodal Enriques surfaces and quartic double solids. Zbl 1408.14069
Ingalls, Colin; Kuznetsov, Alexander
13
2015
Quiver varieties and a noncommutative \(\mathbb P_2\). Zbl 1048.14001
Baranovsky, V.; Ginzburg, V.; Kuznetsov, A.
13
2002
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
Wilson’s Grassmannian and a noncommutative quadric. Zbl 1059.58006
Baranovsky, Vladimir; Ginzburg, Victor; Kuznetsov, Alexander
11
2003
Grothendieck ring of varieties, D- and L-equivalence, and families of quadrics. Zbl 1450.11036
Kuznetsov, Alexander; Shinder, Evgeny
10
2018
On Küchle varieties with Picard number greater than 1. Zbl 1342.14087
Kuznetsov, A. G.
10
2015
Calabi-Yau and fractional Calabi-Yau categories. Zbl 1440.14092
Kuznetsov, Alexander
9
2019
Derived equivalence of Ito-Miura-Okawa-Ueda Calabi-Yau 3-folds. Zbl 1423.14128
Kuznetsov, Alexander
8
2018
Derived categories of Fano threefolds \(V_{12}\). Zbl 1111.14038
Kuznetsov, A. G.
8
2005
Scheme of lines on a family of 2-dimensional quadrics: geometry and derived category. Zbl 1295.14018
Kuznetsov, Alexander
7
2014
Global intersection cohomology of quasimaps’ spaces. Zbl 0890.14007
Finkelberg, Michael; Kuznetsov, Alexander
7
1997
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
Laumon’s resolution of Drinfeld’s compactification is small. Zbl 0910.14026
Kuznetsov, Alexander
6
1997
Gushel-Mukai varieties: linear spaces and periods. Zbl 1440.14053
Debarre, Olivier; Kuznetsov, Alexander
5
2019
Derived categories of curves as components of Fano manifolds. Zbl 06850746
Fonarev, Anton; Kuznetsov, Alexander
5
2018
Derived categories of cyclic covers and their branch divisors. Zbl 1365.14021
Kuznetsov, Alexander; Perry, Alexander
5
2017
Gushel-Mukai varieties: moduli. Zbl 07206083
Debarre, Olivier; Kuznetsov, Alexander
4
2020
On linear sections of the spinor tenfold. I. Zbl 1420.14094
Kuznetsov, A. G.
4
2018
Towards a cluster structure on trigonometric zastava. Zbl 1423.13122
Finkelberg, Michael; Kuznetsov, Alexander; Rybnikov, Leonid; Dobrovolska, Galyna
4
2018
Exceptional collections in surface-like categories. Zbl 1398.14026
Kuznetsov, Alexander G.
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
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
Double covers of quadratic degeneracy and Lagrangian intersection loci. Zbl 07262927
Debarre, Olivier; Kuznetsov, Alexander
1
2020
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
4
2020
On residual categories for Grassmannians. Zbl 07194979
Kuznetsov, Alexander; Smirnov, Maxim
2
2020
Double covers of quadratic degeneracy and Lagrangian intersection loci. Zbl 07262927
Debarre, Olivier; Kuznetsov, Alexander
1
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
9
2019
Gushel-Mukai varieties: linear spaces and periods. Zbl 1440.14053
Debarre, Olivier; Kuznetsov, Alexander
5
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
17
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.
14
2018
Derived categories of Gushel-Mukai varieties. Zbl 1401.14181
Kuznetsov, Alexander; Perry, Alexander
13
2018
Grothendieck ring of varieties, D- and L-equivalence, and families of quadrics. Zbl 1450.11036
Kuznetsov, Alexander; Shinder, Evgeny
10
2018
Derived equivalence of Ito-Miura-Okawa-Ueda Calabi-Yau 3-folds. Zbl 1423.14128
Kuznetsov, Alexander
8
2018
Derived categories of curves as components of Fano manifolds. Zbl 06850746
Fonarev, Anton; Kuznetsov, Alexander
5
2018
On linear sections of the spinor tenfold. I. Zbl 1420.14094
Kuznetsov, A. G.
4
2018
Towards a cluster structure on trigonometric zastava. Zbl 1423.13122
Finkelberg, Michael; Kuznetsov, Alexander; Rybnikov, Leonid; Dobrovolska, Galyna
4
2018
Derived categories of cyclic covers and their branch divisors. Zbl 1365.14021
Kuznetsov, Alexander; Perry, Alexander
5
2017
Exceptional collections in surface-like categories. Zbl 1398.14026
Kuznetsov, Alexander G.
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.
26
2015
Height of exceptional collections and Hochschild cohomology of quasiphantom categories. Zbl 1331.14024
Kuznetsov, Alexander
17
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
28
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
14
2012
Base change for semiorthogonal decompositions. Zbl 1218.18009
Kuznetsov, Alexander
18
2011
Derived categories of cubic fourfolds. Zbl 1202.14012
Kuznetsov, Alexander
50
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
49
2008
Exceptional collections for Grassmannians of isotropic lines. Zbl 1168.14032
Kuznetsov, Alexander
17
2008
Homological projective duality. Zbl 1131.14017
Kuznetsov, Alexander
50
2007
Lefschetz decompositions and categorical resolutions of singularities. Zbl 1156.18006
Kuznetsov, Alexander
28
2007
Quiver varieties and Hilbert schemes. Zbl 1142.14009
Kuznetsov, Alexander
17
2007
Hyperplane sections and derived categories. Zbl 1133.14016
Kuznetsov, A. G.
38
2006
Derived categories of Fano threefolds \(V_{12}\). Zbl 1111.14038
Kuznetsov, A. G.
8
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
7
1997
Laumon’s resolution of Drinfeld’s compactification is small. Zbl 0910.14026
Kuznetsov, Alexander
6
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.
20
1994
all top 5

Cited by 429 Authors

27 Kuznetsov, Aleksandr Gennad’evich
14 Finkelberg, Michael Vladlenovich
12 Tabuada, Gonçalo
10 Katzarkov, Ludmil
8 Bernardara, Marcello
8 Manivel, Laurent
7 Ballard, Matthew Robert
7 Faenzi, Daniele
7 Sharpe, Eric R.
7 Szabo, Richard J.
7 Van den Bergh, Michel
6 Favero, David
6 Macrì, Emanuele
6 Przhiyalkovskiĭ, Viktor Vladimirovich
6 Rybnikov, Leonid Grigor’evich
6 Shramov, Konstantin Aleksandrovich
5 Borisov, Lev A.
5 Bruzzo, Ugo
5 Laterveer, Robert
5 Lee, Kyoung-Seog
5 Sosna, Pawel
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 Nevins, Thomas Andrew
4 Orlov, Dmitri O.
4 Perry, Alexander R.
4 Polishchuk, Alexander Evgen’evich
4 Rava, Claudio L. S.
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 Fatighenti, Enrico
3 Feĭgin, Boris L’vovich
3 Gaitsgory, Dennis
3 Harder, Andrew
3 Hassett, Brendan
3 Kalck, Martin
3 Krug, Andreas
3 Lanza, Valeriano
3 Malaspina, Francesco
3 Mirò-Roig, Rosa Maria
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 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 Lehmann, Brian
2 Lehn, Manfred
2 Liu, Yijia
2 López Martín, Ana Cristina
...and 329 more Authors
all top 5

Cited in 101 Serials

47 Advances in Mathematics
17 Journal of Algebra
16 Compositio Mathematica
16 Journal of Pure and Applied Algebra
16 Selecta Mathematica. New Series
15 Journal of Geometry and Physics
12 Mathematische Zeitschrift
12 Journal of High Energy Physics
9 Mathematische Annalen
8 Communications in Mathematical Physics
8 Journal für die Reine und Angewandte Mathematik
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 International Journal of Mathematics
5 Journal of Algebraic Geometry
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 Journal de Mathématiques Pures et Appliquées. Neuvième Série
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 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 Geometriae Dedicata
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 Communications in Contemporary 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 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Commentarii Mathematici Helvetici
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 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Transformation Groups
1 Representation Theory
1 Taiwanese Journal of Mathematics
1 Geometry & Topology
1 Algebras and Representation Theory
1 Annals of Combinatorics
1 Acta Mathematica Sinica. English Series
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 Sibirskie Èlektronnye Matematicheskie Izvestiya
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 Journal de l’École Polytechnique – Mathématiques
1 Annals of \(K\)-Theory
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
...and 1 more Serials

Citations by Year

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