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Borisov, Lev A.

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Author ID: borisov.lev-a Recent zbMATH articles by "Borisov, Lev A."
Published as: Borisov, Lev A.; Borisov, Lev; Borisov, L. A.; Borisov, L.
Homepage: https://sites.math.rutgers.edu/~borisov/
External Links: MGP · ORCID · arXiv · Google Scholar · MathOverflow · Math-Net.Ru · dblp
Documents Indexed: 54 Publications since 1992

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 718 times in 527 Documents Cited by Year
The orbifold Chow ring of toric Deligne-Mumford stacks. Zbl 1178.14057
Borisov, Lev A.; Chen, Linda; Smith, Gregory G.
117
2005
On Calabi-Yau complete intersections in toric varieties. Zbl 0908.14015
Batyrev, Victor V.; Borisov, Lev A.
62
1996
Systematic approach to cyclic orbifolds. Zbl 1002.17014
Borisov, L.; Halpern, M. B.; Schweigert, C.
61
1998
Mirror duality and string-theoretic Hodge numbers. Zbl 0872.14035
Batyrev, Victor V.; Borisov, Lev A.
50
1996
Elliptic genera of toric varieties and applications to mirror symmetry. Zbl 0958.14033
Borisov, Lev A.; Libgober, Anatoly
35
2000
The Pfaffian-Grassmannian derived equivalence. Zbl 1181.14020
Borisov, Lev; Căldăraru, Andrei
33
2009
Dual cones and mirror symmetry for generalized Calabi-Yau manifolds. Zbl 0927.14019
Batyrev, Victor V.; Borisov, Lev A.
32
1997
The class of the affine line is a zero divisor in the Grothendieck ring. Zbl 1415.14006
Borisov, Lev A.
30
2018
Vertex algebras and mirror symmetry. Zbl 0990.17023
Borisov, Lev A.
26
2001
Mellin–Barnes integrals as Fourier–Mukai transforms. Zbl 1137.14314
Borisov, Lev A.; Horja, R. Paul
26
2006
Elliptic genera of singular varieties. Zbl 1053.14050
Borisov, Lev; Libgober, Anatoly
24
2003
On the \(K\)-theory of smooth toric DM stacks. Zbl 1171.14301
Borisov, Lev A.; Horja, R. Paul
21
2006
McKay correspondence for elliptic genera. Zbl 1153.58301
Borisov, Lev; Libgober, Anatoly
21
2005
String cohomology of Calabi-Yau hypersurfaces via mirror symmetry. Appendix: \(G\)-polynomials. Zbl 1055.14044
Borisov, Lev A.; Mavlyutov, Anvar R.
19
2003
Berglund-Hübsch mirror symmetry via vertex algebras. Zbl 1317.17032
Borisov, Lev A.
17
2013
On the conjecture of King for smooth toric Deligne-Mumford stacks. Zbl 1210.14006
Borisov, Lev; Hua, Zheng
16
2009
Singular toric Fano varieties. Zbl 0786.14028
Borisov, A. A.; Borisov, L. A.
15
1992
Toric modular forms and nonvanishing of \(L\)-functions. Zbl 1070.11015
Borisov, Lev A.; Gunnells, Paul E.
11
2001
Twistor geometry and warped product orthogonal complex structures. Zbl 1227.53061
Borisov, Lev; Salamon, Simon; Viaclovsky, Jeff
10
2011
Toric modular forms of higher weight. Zbl 1124.11309
Borisov, Lev A.; Gunnells, Paul E.
9
2003
On the better behaved version of the GKZ hypergeometric system. Zbl 1284.33012
Borisov, Lev A.; Paul Horja, R.
8
2013
Elliptic genera of singular varieties, orbifold elliptic genus and chiral de Rham complex. Zbl 1107.11023
Borisov, Lev A.; Libgober, Anatoly
7
2002
Intersections of two Grassmannians in \(\mathbb{P}^9\). Zbl 1470.14036
Borisov, Lev A.; Căldăraru, Andrei; Perry, Alexander
6
2020
Toric varieties and modular forms. Zbl 1039.11022
Borisov, Lev A.; Gunnells, Paul E.
6
2001
String cohomology of a toroidal singularity. Zbl 0949.14029
Borisov, Lev A.
6
2000
Chiral rings of vertex algebras of mirror symmetry. Zbl 1067.14034
Borisov, Lev A.
6
2004
Self–self-dual spaces of polynomials. Zbl 1083.82006
Borisov, Lev; Mukhin, Evgeny
5
2005
Higher elliptic genera. Zbl 1144.14011
Borisov, Lev; Libgober, Anatoly
5
2008
Ulrich bundles on Enriques surfaces. Zbl 1429.14008
Borisov, Lev; Nuer, Howard
4
2018
The sum of squared logarithms inequality in arbitrary dimensions. Zbl 1400.26032
Borisov, Lev; Neff, Patrizio; Sra, Suvrit; Thiel, Christian
4
2017
Higher Stanley-Reisner rings and toric residues. Zbl 1074.14048
Borisov, Lev A.
4
2005
Explicit global minimization of the symmetrized Euclidean distance by a characterization of real matrices with symmetric square. Zbl 1416.15023
Neff, Patrizio; Fischle, Andreas; Borisov, Lev
3
2019
On stringy cohomology spaces. Zbl 1292.14029
Borisov, Lev A.
3
2014
Elliptic functions and equations of modular curves. Zbl 1093.11043
Borisov, Lev A.; Gunnells, Paul E.; Popescu, Sorin
2
2001
On Calabi-Yau threefolds with large nonabelian fundamental groups. Zbl 1131.14044
Borisov, Lev; Hua, Zheng
2
2008
Finding integral diagonal pairs in a two dimensional \(\mathcal{N}\)-set. Zbl 1246.11061
Borisov, Lev A.; Jin, Renling
2
2011
On \((2,4)\) complete intersection threefolds that contain an Enriques surface. Zbl 1371.14045
Borisov, Lev A.; Nuer, Howard J.
2
2016
On Clifford double mirrors of toric complete intersections. Zbl 1427.14080
Borisov, Lev A.; Li, Zhan
2
2018
On CY-LG correspondence for \((0,2)\) toric models. Zbl 1271.14074
Borisov, Lev A.; Kaufmann, Ralph M.
2
2012
Explicit equations of a fake projective plane. Zbl 07198473
Borisov, Lev A.; Keum, Jonghae
1
2020
Wonderful blowups associated to group actions. Zbl 1027.32025
Borisov, L. A.; Gunnells, P. E.
1
2002
A finiteness theorem for subgroups of \(\text{Sp}(4,\mathbb{Z})\). Zbl 1024.11032
Borisov, L. A.
1
1999
Threefolds of order one in the six-quadric. Zbl 1312.14101
Borisov, Lev; Viaclovsky, Jeff
1
2009
Intersections of two Grassmannians in \(\mathbb{P}^9\). Zbl 1470.14036
Borisov, Lev A.; Căldăraru, Andrei; Perry, Alexander
6
2020
Explicit equations of a fake projective plane. Zbl 07198473
Borisov, Lev A.; Keum, Jonghae
1
2020
Explicit global minimization of the symmetrized Euclidean distance by a characterization of real matrices with symmetric square. Zbl 1416.15023
Neff, Patrizio; Fischle, Andreas; Borisov, Lev
3
2019
The class of the affine line is a zero divisor in the Grothendieck ring. Zbl 1415.14006
Borisov, Lev A.
30
2018
Ulrich bundles on Enriques surfaces. Zbl 1429.14008
Borisov, Lev; Nuer, Howard
4
2018
On Clifford double mirrors of toric complete intersections. Zbl 1427.14080
Borisov, Lev A.; Li, Zhan
2
2018
The sum of squared logarithms inequality in arbitrary dimensions. Zbl 1400.26032
Borisov, Lev; Neff, Patrizio; Sra, Suvrit; Thiel, Christian
4
2017
On \((2,4)\) complete intersection threefolds that contain an Enriques surface. Zbl 1371.14045
Borisov, Lev A.; Nuer, Howard J.
2
2016
On stringy cohomology spaces. Zbl 1292.14029
Borisov, Lev A.
3
2014
Berglund-Hübsch mirror symmetry via vertex algebras. Zbl 1317.17032
Borisov, Lev A.
17
2013
On the better behaved version of the GKZ hypergeometric system. Zbl 1284.33012
Borisov, Lev A.; Paul Horja, R.
8
2013
On CY-LG correspondence for \((0,2)\) toric models. Zbl 1271.14074
Borisov, Lev A.; Kaufmann, Ralph M.
2
2012
Twistor geometry and warped product orthogonal complex structures. Zbl 1227.53061
Borisov, Lev; Salamon, Simon; Viaclovsky, Jeff
10
2011
Finding integral diagonal pairs in a two dimensional \(\mathcal{N}\)-set. Zbl 1246.11061
Borisov, Lev A.; Jin, Renling
2
2011
The Pfaffian-Grassmannian derived equivalence. Zbl 1181.14020
Borisov, Lev; Căldăraru, Andrei
33
2009
On the conjecture of King for smooth toric Deligne-Mumford stacks. Zbl 1210.14006
Borisov, Lev; Hua, Zheng
16
2009
Threefolds of order one in the six-quadric. Zbl 1312.14101
Borisov, Lev; Viaclovsky, Jeff
1
2009
Higher elliptic genera. Zbl 1144.14011
Borisov, Lev; Libgober, Anatoly
5
2008
On Calabi-Yau threefolds with large nonabelian fundamental groups. Zbl 1131.14044
Borisov, Lev; Hua, Zheng
2
2008
Mellin–Barnes integrals as Fourier–Mukai transforms. Zbl 1137.14314
Borisov, Lev A.; Horja, R. Paul
26
2006
On the \(K\)-theory of smooth toric DM stacks. Zbl 1171.14301
Borisov, Lev A.; Horja, R. Paul
21
2006
The orbifold Chow ring of toric Deligne-Mumford stacks. Zbl 1178.14057
Borisov, Lev A.; Chen, Linda; Smith, Gregory G.
117
2005
McKay correspondence for elliptic genera. Zbl 1153.58301
Borisov, Lev; Libgober, Anatoly
21
2005
Self–self-dual spaces of polynomials. Zbl 1083.82006
Borisov, Lev; Mukhin, Evgeny
5
2005
Higher Stanley-Reisner rings and toric residues. Zbl 1074.14048
Borisov, Lev A.
4
2005
Chiral rings of vertex algebras of mirror symmetry. Zbl 1067.14034
Borisov, Lev A.
6
2004
Elliptic genera of singular varieties. Zbl 1053.14050
Borisov, Lev; Libgober, Anatoly
24
2003
String cohomology of Calabi-Yau hypersurfaces via mirror symmetry. Appendix: \(G\)-polynomials. Zbl 1055.14044
Borisov, Lev A.; Mavlyutov, Anvar R.
19
2003
Toric modular forms of higher weight. Zbl 1124.11309
Borisov, Lev A.; Gunnells, Paul E.
9
2003
Elliptic genera of singular varieties, orbifold elliptic genus and chiral de Rham complex. Zbl 1107.11023
Borisov, Lev A.; Libgober, Anatoly
7
2002
Wonderful blowups associated to group actions. Zbl 1027.32025
Borisov, L. A.; Gunnells, P. E.
1
2002
Vertex algebras and mirror symmetry. Zbl 0990.17023
Borisov, Lev A.
26
2001
Toric modular forms and nonvanishing of \(L\)-functions. Zbl 1070.11015
Borisov, Lev A.; Gunnells, Paul E.
11
2001
Toric varieties and modular forms. Zbl 1039.11022
Borisov, Lev A.; Gunnells, Paul E.
6
2001
Elliptic functions and equations of modular curves. Zbl 1093.11043
Borisov, Lev A.; Gunnells, Paul E.; Popescu, Sorin
2
2001
Elliptic genera of toric varieties and applications to mirror symmetry. Zbl 0958.14033
Borisov, Lev A.; Libgober, Anatoly
35
2000
String cohomology of a toroidal singularity. Zbl 0949.14029
Borisov, Lev A.
6
2000
A finiteness theorem for subgroups of \(\text{Sp}(4,\mathbb{Z})\). Zbl 1024.11032
Borisov, L. A.
1
1999
Systematic approach to cyclic orbifolds. Zbl 1002.17014
Borisov, L.; Halpern, M. B.; Schweigert, C.
61
1998
Dual cones and mirror symmetry for generalized Calabi-Yau manifolds. Zbl 0927.14019
Batyrev, Victor V.; Borisov, Lev A.
32
1997
On Calabi-Yau complete intersections in toric varieties. Zbl 0908.14015
Batyrev, Victor V.; Borisov, Lev A.
62
1996
Mirror duality and string-theoretic Hodge numbers. Zbl 0872.14035
Batyrev, Victor V.; Borisov, Lev A.
50
1996
Singular toric Fano varieties. Zbl 0786.14028
Borisov, A. A.; Borisov, L. A.
15
1992
all top 5

Cited by 584 Authors

22 Borisov, Lev A.
17 Halpern, Martin B.
15 Tseng, Hsian-Hua
14 Iritani, Hiroshi
10 Stapledon, Alan
9 Coates, Tom
8 Katzarkov, Ludmil
8 Kreuzer, Maximilian
7 Hosono, Shinobu
7 Jiang, Yunfeng
7 Mann, Etienne
7 Nill, Benjamin
7 Ueda, Kazushi
6 Favero, David
6 Gross, Mark
6 Maxim, Laurentiu G.
6 Schellekens, A. N.
6 Schürmann, Jörg
5 Ballard, Matthew Robert
5 Bantay, Peter
5 Edidin, Dan
5 Helfgott, C.
5 Kim, Bumsig
5 Maio, M.
5 Szabo, Richard J.
5 Takagi, Hiromichi
4 Batyrev, Victor V.
4 Boissière, Samuel
4 Braun, Andreas P.
4 Chiodo, Alessandro
4 Corti, Alessio
4 Diemer, Colin
4 Dong, Chongying
4 Goldin, Rebecca F.
4 Harada, Megumi
4 Heluani, Reimundo
4 Jockers, Hans
4 Kerr, Gabriel
4 Libgober, Anatoly S.
4 Neff, Patrizio
4 Perroni, Fabio
4 Ruan, Yongbin
4 Satriano, Matthew
4 Schepers, Jan
4 Zhou, Jian
3 Barron, Katrina
3 Birkar, Caucher
3 Blumenhagen, Ralph
3 Bruzzo, Ugo
3 Cappell, Sylvain E.
3 Chan, Kwokwai
3 Ciocan-Fontanine, Ionuţ
3 de Boer, Jan
3 Donovan, Will
3 Doran, Charles F.
3 Douai, Antoine
3 Evslin, Jarah
3 Fang, Bohan
3 Fantechi, Barbara
3 Geraschenko, Anton
3 Gerhardus, Andreas
3 Grimm, Thomas W.
3 Harder, Andrew
3 He, Yang-Hui Evariste
3 Holm, Tara S.
3 Horja, R. Paul
3 Jurke, Benjamin
3 Kasprzyk, Alexander M.
3 Katz, Eric
3 Khuri-Makdisi, Kamal
3 Laterveer, Robert
3 Lau, Siu-Cheong
3 Li, Zhan
3 Lian, Bong H.
3 Mathai, Varghese
3 Mavlyutov, Anvar R.
3 Miura, Makoto
3 Morrison, David R.
3 Mukhin, Evgeny
3 Nicaise, Johannes
3 Okawa, Shinnosuke
3 Payne, Sam
3 Rimányi, Richárd
3 Sala, Francesco
3 Schimannek, Thorsten
3 Schweigert, Christoph
3 Sevenheck, Christian
3 Skarke, Harald
3 Uehara, Hokuto
3 van Straten, Duco
3 Viaclovsky, Jeff A.
3 Wang, Zhilan
3 Weber, Andrzej
3 Wendland, Katrin
3 Xu, Feng
3 Yokura, Shoji
3 Yoshida, Yutaka
3 You, Fenglong
3 Yu, Nina
3 Zheng, Fangyang
...and 484 more Authors
all top 5

Cited in 122 Serials

54 Advances in Mathematics
33 Communications in Mathematical Physics
33 Journal of High Energy Physics
27 Nuclear Physics. B
20 Mathematische Annalen
15 Journal of Geometry and Physics
14 International Journal of Modern Physics A
14 Duke Mathematical Journal
14 Journal of Algebraic Geometry
11 Mathematische Zeitschrift
10 Proceedings of the American Mathematical Society
10 Selecta Mathematica. New Series
9 Transactions of the American Mathematical Society
9 Geometry & Topology
8 Journal of Mathematical Physics
8 Compositio Mathematica
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Journal für die Reine und Angewandte Mathematik
7 Manuscripta Mathematica
7 International Journal of Mathematics
7 Transformation Groups
6 Letters in Mathematical Physics
6 Journal of Algebra
6 Journal of Pure and Applied Algebra
6 Kyoto Journal of Mathematics
5 Communications in Algebra
5 Journal of Number Theory
5 Nuclear Physics, B, Proceedings Supplements
5 Research in the Mathematical Sciences
4 Tohoku Mathematical Journal. Second Series
4 Journal of the American Mathematical Society
4 Acta Mathematica Sinica. English Series
4 Algebraic & Geometric Topology
3 Physics Letters. B
3 Annales de l’Institut Fourier
3 Inventiones Mathematicae
3 Discrete & Computational Geometry
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Revista Matemática Complutense
3 Advances in Geometry
3 Advances in High Energy Physics
2 Mathematical Notes
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Rocky Mountain Journal of Mathematics
2 Beiträge zur Algebra und Geometrie
2 Acta Mathematica
2 Geometriae Dedicata
2 Glasgow Mathematical Journal
2 Journal of the London Mathematical Society. Second Series
2 Nagoya Mathematical Journal
2 Journal of Algebraic Combinatorics
2 The Electronic Journal of Combinatorics
2 Izvestiya: Mathematics
2 Taiwanese Journal of Mathematics
2 Annals of Mathematics. Second Series
2 Journal of the European Mathematical Society (JEMS)
2 Communications in Contemporary Mathematics
2 International Journal of Geometric Methods in Modern Physics
2 Journal of Physics A: Mathematical and Theoretical
2 Forum of Mathematics, Sigma
2 European Journal of Mathematics
1 Modern Physics Letters A
1 Archive for Rational Mechanics and Analysis
1 Computer Physics Communications
1 Communications on Pure and Applied Mathematics
1 Discrete Mathematics
1 Russian Mathematical Surveys
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Reviews in Mathematical Physics
1 Collectanea Mathematica
1 Hokkaido Mathematical Journal
1 Illinois Journal of Mathematics
1 Publications Mathématiques
1 Journal of Combinatorial Theory. Series A
1 Journal of Differential Geometry
1 Le Matematiche
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Osaka Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Results in Mathematics
1 Tokyo Journal of Mathematics
1 Topology and its Applications
1 Advances in Applied Mathematics
1 Chinese Annals of Mathematics. Series B
1 Annals of Global Analysis and Geometry
1 Forum Mathematicum
1 The Journal of Geometric Analysis
1 Journal of Elasticity
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Journal of Mathematical Sciences (New York)
1 Bulletin des Sciences Mathématiques
1 Sbornik: Mathematics
1 Documenta Mathematica
1 Mathematics and Mechanics of Solids
1 The Ramanujan Journal
1 Annals of Combinatorics
...and 22 more Serials
all top 5

Cited in 42 Fields

374 Algebraic geometry (14-XX)
145 Quantum theory (81-XX)
91 Differential geometry (53-XX)
57 Several complex variables and analytic spaces (32-XX)
47 Nonassociative rings and algebras (17-XX)
37 Number theory (11-XX)
35 Algebraic topology (55-XX)
34 Manifolds and cell complexes (57-XX)
27 Relativity and gravitational theory (83-XX)
25 Global analysis, analysis on manifolds (58-XX)
24 Convex and discrete geometry (52-XX)
21 Category theory; homological algebra (18-XX)
12 Commutative algebra (13-XX)
12 Group theory and generalizations (20-XX)
11 \(K\)-theory (19-XX)
9 Associative rings and algebras (16-XX)
8 Special functions (33-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Partial differential equations (35-XX)
6 Topological groups, Lie groups (22-XX)
5 Functional analysis (46-XX)
5 Mechanics of deformable solids (74-XX)
3 Combinatorics (05-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Real functions (26-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Geometry (51-XX)
2 Mathematical logic and foundations (03-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Field theory and polynomials (12-XX)
1 Ordinary differential equations (34-XX)
1 Abstract harmonic analysis (43-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Statistics (62-XX)
1 Numerical analysis (65-XX)
1 Computer science (68-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year