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Author ID: bondal.alexey-i Recent zbMATH articles by "Bondal, Alexey I."
Published as: Bondal, A. I.; Bondal, Alexey; Bondal, Alexey I.; Bondal, A.
Homepage: https://db.ipmu.jp/member/personal/170en.html
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Publications by Year

Citations contained in zbMATH Open

24 Publications have been cited 1,148 times in 828 Documents Cited by Year
Generators and representability of functors in commutative and noncommutative geometry. Zbl 1135.18302
Bondal, A.; van den Bergh, M.
229
2003
Representable functors, Serre functors, and mutations. Zbl 0703.14011
Bondal, A. I.; Kapranov, M. M.
174
1990
Representation of associative algebras and coherent sheaves. Zbl 0692.18002
Bondal, A. I.
134
1990
Reconstruction of a variety from the derived category and groups of autoequivalences. Zbl 0994.18007
Bondal, Alexey; Orlov, Dmitri
116
2001
Enhanced triangulated categories. Zbl 0729.18008
Bondal, A. I.; Kapranov, M. M.
99
1991
Derived categories of coherent sheaves. Zbl 0996.18007
Bondal, A.; Orlov, D.
86
2002
Homological properties of associative algebras: The method of helices. Zbl 0847.16010
Bondal, A. I.; Polishchuk, A. E.
59
1993
Equipped triangulated categories. Zbl 0719.18005
Bondal, A. I.; Kapranov, M. M.
56
1990
Grothendieck ring of pretriangulated categories. Zbl 1079.18008
Bondal, Alexey I.; Larsen, Michael; Lunts, Valery A.
55
2004
Perverse schobers and birational geometry. Zbl 1436.14037
Bondal, Alexey; Kapranov, Mikhail; Schechtman, Vadim
33
2018
Helices, representations of quivers and Koszul algebras. Zbl 0742.14010
Bondal, A. I.
26
1990
A symplectic groupoid of triangular bilinear forms and the braid group. Zbl 1084.58502
Bondal, A. I.
18
2004
Homogeneous bundles. Zbl 0742.14011
Bondal, A. I.; Kapranov, M. M.
12
1990
Flops and spherical functors. Zbl 07569953
Bodzenta, Agnieszka; Bondal, Alexey
10
2022
Orthogonal pairs and mutually unbiased bases. Zbl 1342.81063
Bondal, A.; Zhdanovskiĭ, I.
9
2016
Coherence of relatively quasi-free algebras. Zbl 1333.18020
Bondal, Alexey; Zhdanovskiy, Ilya
7
2015
Symplectic geometry of unbiasedness and critical points of a potential. Zbl 1453.53074
Bondal, Alexey; Zhdanovskiy, Ilya
6
2019
Symplectic groupoids related to Poisson-Lie groups. Zbl 1181.17010
Bondal, A. I.
5
2004
Invariant lattices, the Leech lattice and its even unimodular analogues in the Lie algebras \(A_{p-1}\). Zbl 0634.10028
Bondal, A. I.; Kostrikin, A. I.; Pham Huu Tiep
5
1987
Operations on \(t\)-structures and perverse coherent sheaves. Zbl 1292.14014
Bondal, A. I.
4
2013
Canonical tilting relative generators. Zbl 1423.14116
Bodzenta, Agnieszka; Bondal, Alexey
2
2018
Invariant lattices in Lie algebras of type \(A_{p-1}\). Zbl 0599.17006
Bondal, A. I.
1
1986
Derived categories of coherent sheaves. Zbl 1478.14009
Bondal, Alexey
1
2020
Theory of homotopes with applications to mutually unbiased bases, harmonic analysis on graphs, and perverse sheaves. Zbl 1484.14033
Bondal, Alexey I.; Zhdanovskiy, Il’ya Yu.
1
2021
Flops and spherical functors. Zbl 07569953
Bodzenta, Agnieszka; Bondal, Alexey
10
2022
Theory of homotopes with applications to mutually unbiased bases, harmonic analysis on graphs, and perverse sheaves. Zbl 1484.14033
Bondal, Alexey I.; Zhdanovskiy, Il’ya Yu.
1
2021
Derived categories of coherent sheaves. Zbl 1478.14009
Bondal, Alexey
1
2020
Symplectic geometry of unbiasedness and critical points of a potential. Zbl 1453.53074
Bondal, Alexey; Zhdanovskiy, Ilya
6
2019
Perverse schobers and birational geometry. Zbl 1436.14037
Bondal, Alexey; Kapranov, Mikhail; Schechtman, Vadim
33
2018
Canonical tilting relative generators. Zbl 1423.14116
Bodzenta, Agnieszka; Bondal, Alexey
2
2018
Orthogonal pairs and mutually unbiased bases. Zbl 1342.81063
Bondal, A.; Zhdanovskiĭ, I.
9
2016
Coherence of relatively quasi-free algebras. Zbl 1333.18020
Bondal, Alexey; Zhdanovskiy, Ilya
7
2015
Operations on \(t\)-structures and perverse coherent sheaves. Zbl 1292.14014
Bondal, A. I.
4
2013
Grothendieck ring of pretriangulated categories. Zbl 1079.18008
Bondal, Alexey I.; Larsen, Michael; Lunts, Valery A.
55
2004
A symplectic groupoid of triangular bilinear forms and the braid group. Zbl 1084.58502
Bondal, A. I.
18
2004
Symplectic groupoids related to Poisson-Lie groups. Zbl 1181.17010
Bondal, A. I.
5
2004
Generators and representability of functors in commutative and noncommutative geometry. Zbl 1135.18302
Bondal, A.; van den Bergh, M.
229
2003
Derived categories of coherent sheaves. Zbl 0996.18007
Bondal, A.; Orlov, D.
86
2002
Reconstruction of a variety from the derived category and groups of autoequivalences. Zbl 0994.18007
Bondal, Alexey; Orlov, Dmitri
116
2001
Homological properties of associative algebras: The method of helices. Zbl 0847.16010
Bondal, A. I.; Polishchuk, A. E.
59
1993
Enhanced triangulated categories. Zbl 0729.18008
Bondal, A. I.; Kapranov, M. M.
99
1991
Representable functors, Serre functors, and mutations. Zbl 0703.14011
Bondal, A. I.; Kapranov, M. M.
174
1990
Representation of associative algebras and coherent sheaves. Zbl 0692.18002
Bondal, A. I.
134
1990
Equipped triangulated categories. Zbl 0719.18005
Bondal, A. I.; Kapranov, M. M.
56
1990
Helices, representations of quivers and Koszul algebras. Zbl 0742.14010
Bondal, A. I.
26
1990
Homogeneous bundles. Zbl 0742.14011
Bondal, A. I.; Kapranov, M. M.
12
1990
Invariant lattices, the Leech lattice and its even unimodular analogues in the Lie algebras \(A_{p-1}\). Zbl 0634.10028
Bondal, A. I.; Kostrikin, A. I.; Pham Huu Tiep
5
1987
Invariant lattices in Lie algebras of type \(A_{p-1}\). Zbl 0599.17006
Bondal, A. I.
1
1986
all top 5

Cited by 736 Authors

23 Van den Bergh, Michel
22 Katzarkov, Ludmil
22 Tabuada, Gonçalo
15 Orlov, Dmitri O.
13 Kuznetsov, Aleksandr Gennad’evich
13 Lunts, Valery A.
13 Neeman, Amnon
13 Stellari, Paolo
12 Ballard, Matthew Robert
11 Polishchuk, Alexander Evgen’evich
9 Bondal, Alexey I.
9 Chen, Xiaowu
9 Favero, David
9 Kapranov, Mikhail M.
9 Krause, Henning
9 Lowen, Wendy
9 Zhdanovskiy, Il’ya Yu.
8 Bernardara, Marcello
8 Canonaco, Alberto
8 Efimov, Alexander I.
8 Shinder, Evgeny
7 Belmans, Pieter
7 Costa, Laura
7 Iyama, Osamu
7 Toën, Bertrand
7 Ueda, Kazushi
7 van Roosmalen, Adam-Christiaan
6 Bezrukavnikov, Roman
6 Bridgeland, Tom
6 Chekhov, Leonid O.
6 Iyengar, Srikanth B.
6 Macrì, Emanuele
6 Mirò-Roig, Rosa Maria
6 Raedschelders, Theo
6 Sibilla, Nicolò
6 Sosna, Pawel
6 Takahashi, Ryo
5 Antieau, Benjamin
5 Bodzenta, Agnieszka
5 Chan, Daniel
5 Donovan, Will
5 Faenzi, Daniele
5 Kawamata, Yujiro
5 Keller, Bernhard
5 Mao, XueFeng
5 Minamoto, Hiroyuki
5 Mori, Izuru
5 Oppermann, Steffen
5 Perry, Alexander R.
5 Ploog, David
5 Sancho de Salas, Fernando
5 Saorín, Manuel
5 Scherotzke, Sarah
5 Schmidt, Benjamin
5 Schnürer, Olaf M.
5 Seidel, Paul
5 Špenko, Špela
5 Šťovíček, Jan
5 Vial, Charles
5 Zheng, Junling
4 Buchweitz, Ragnar-Olaf
4 de la Peña, José Antonio
4 Fu, Lie
4 Galkin, Sergeĭ
4 Halpern-Leistner, Daniel
4 Harder, Andrew
4 Hosono, Shinobu
4 Huybrechts, Daniel
4 Kajiura, Hiroshige
4 Kerr, Gabriel
4 Kobayashi, Kazushi
4 Kocherova, A. S.
4 López Martín, Ana Cristina
4 Mazzocco, Marta
4 Nadler, David
4 Nyman, Adam
4 Pertusi, Laura
4 Rizzardo, Alice
4 Schechtman, Vadim
4 Sharpe, Eric R.
4 Soibelman, Yan S.
4 Stevenson, Greg
4 Takahashi, Atsushi
4 Walcher, Johannes
4 Yang, Dong
4 Zhang, James J.
4 Zhou, Panyue
4 Zvonareva, Alexandra
3 Abdukhalikov, Kanat S.
3 Achar, Pramod N.
3 Alonso Tarrío, Leovigildo M.
3 Anno, Rina
3 Araya, Tokuji
3 Bayer, Arend
3 Beligiannis, Apostolos
3 Bergh, Daniel
3 Bergh, Petter Andreas
3 Bolognesi, Michele
3 Chuang, Joseph
3 De Naeghel, Koen
...and 636 more Authors
all top 5

Cited in 133 Serials

102 Advances in Mathematics
68 Journal of Algebra
31 Mathematische Zeitschrift
27 Selecta Mathematica. New Series
25 Compositio Mathematica
25 Transactions of the American Mathematical Society
24 Journal of Pure and Applied Algebra
21 Algebras and Representation Theory
20 Proceedings of the American Mathematical Society
19 Journal of Noncommutative Geometry
15 Communications in Mathematical Physics
15 Journal of Geometry and Physics
15 Duke Mathematical Journal
13 Journal of the European Mathematical Society (JEMS)
12 Communications in Algebra
12 Mathematische Annalen
12 European Journal of Mathematics
11 Inventiones Mathematicae
11 Journal of Algebraic Geometry
10 Bulletin of the London Mathematical Society
10 Applied Categorical Structures
10 Journal of Mathematical Sciences (New York)
9 Journal für die Reine und Angewandte Mathematik
9 Documenta Mathematica
8 Geometry & Topology
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Russian Mathematical Surveys
7 Annales de l’Institut Fourier
7 Journal of the London Mathematical Society. Second Series
7 Journal of the American Mathematical Society
7 Journal of High Energy Physics
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Journal of Mathematical Physics
6 Memoirs of the American Mathematical Society
6 Nagoya Mathematical Journal
6 Kyoto Journal of Mathematics
6 Forum of Mathematics, Sigma
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Journal of Topology
5 Annals of \(K\)-Theory
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Geometriae Dedicata
4 Publications Mathématiques
4 Manuscripta Mathematica
4 Mathematische Nachrichten
4 Michigan Mathematical Journal
4 Izvestiya: Mathematics
4 Annals of Mathematics. Second Series
4 Journal of Algebra and its Applications
3 Letters in Mathematical Physics
3 Nuclear Physics. B
3 Archiv der Mathematik
3 Proceedings of the London Mathematical Society. Third Series
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Transformation Groups
3 Acta Mathematica Sinica. English Series
3 Lobachevskii Journal of Mathematics
3 Advances in Geometry
3 Central European Journal of Mathematics
3 Journal of the Institute of Mathematics of Jussieu
3 Proceedings of the Steklov Institute of Mathematics
3 Science China. Mathematics
2 Bulletin de la Société Mathématique de France
2 Journal of the Mathematical Society of Japan
2 Le Matematiche
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Topology and its Applications
2 Revista Matemática Iberoamericana
2 Geometric and Functional Analysis. GAFA
2 St. Petersburg Mathematical Journal
2 Theory and Applications of Categories
2 Sbornik: Mathematics
2 Moscow Mathematical Journal
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Annales Henri Lebesgue
1 International Journal of Modern Physics A
1 Israel Journal of Mathematics
1 Linear and Multilinear Algebra
1 Mathematical Notes
1 Rocky Mountain Journal of Mathematics
1 Theoretical and Mathematical Physics
1 Arkiv för Matematik
1 Reviews in Mathematical Physics
1 Acta Mathematica Vietnamica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Canadian Journal of Mathematics
1 Collectanea Mathematica
1 Glasgow Mathematical Journal
1 Indiana University Mathematics Journal
1 Journal of the Korean Mathematical Society
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Tôhoku Mathematical Journal. Second Series
1 Chinese Annals of Mathematics. Series B
1 Bulletin of the Iranian Mathematical Society
1 Physica D
1 Sugaku Expositions
1 Differential Geometry and its Applications
1 IMRN. International Mathematics Research Notices
1 Linear Algebra and its Applications
...and 33 more Serials
all top 5

Cited in 37 Fields

533 Algebraic geometry (14-XX)
427 Category theory; homological algebra (18-XX)
245 Associative rings and algebras (16-XX)
85 Commutative algebra (13-XX)
75 Differential geometry (53-XX)
46 Quantum theory (81-XX)
42 \(K\)-theory (19-XX)
35 Several complex variables and analytic spaces (32-XX)
34 Nonassociative rings and algebras (17-XX)
32 Group theory and generalizations (20-XX)
29 Algebraic topology (55-XX)
26 Manifolds and cell complexes (57-XX)
17 Number theory (11-XX)
12 Dynamical systems and ergodic theory (37-XX)
12 Global analysis, analysis on manifolds (58-XX)
9 Combinatorics (05-XX)
8 Functional analysis (46-XX)
7 Partial differential equations (35-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
5 Functions of a complex variable (30-XX)
5 Relativity and gravitational theory (83-XX)
4 Topological groups, Lie groups (22-XX)
4 Ordinary differential equations (34-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Special functions (33-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 General and overarching topics; collections (00-XX)
2 Convex and discrete geometry (52-XX)
2 Information and communication theory, circuits (94-XX)
1 Mathematical logic and foundations (03-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Operator theory (47-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Mathematics education (97-XX)

Citations by Year

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