×
Compute Distance To:
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: 56 Publications since 1992
Co-Authors: 32 Co-Authors with 45 Joint Publications
667 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 761 times in 559 Documents Cited by Year
The orbifold Chow ring of toric Deligne-Mumford stacks. Zbl 1178.14057
Borisov, Lev A.; Chen, Linda; Smith, Gregory G.
123
2005
On Calabi-Yau complete intersections in toric varieties. Zbl 0908.14015
Batyrev, Victor V.; Borisov, Lev A.
66
1996
Systematic approach to cyclic orbifolds. Zbl 1002.17014
Borisov, L.; Halpern, M. B.; Schweigert, C.
66
1998
Mirror duality and string-theoretic Hodge numbers. Zbl 0872.14035
Batyrev, Victor V.; Borisov, Lev A.
52
1996
Elliptic genera of toric varieties and applications to mirror symmetry. Zbl 0958.14033
Borisov, Lev A.; Libgober, Anatoly
38
2000
The Pfaffian-Grassmannian derived equivalence. Zbl 1181.14020
Borisov, Lev; Căldăraru, Andrei
34
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.
31
2018
Mellin–Barnes integrals as Fourier–Mukai transforms. Zbl 1137.14314
Borisov, Lev A.; Horja, R. Paul
28
2006
Vertex algebras and mirror symmetry. Zbl 0990.17023
Borisov, Lev A.
27
2001
Elliptic genera of singular varieties. Zbl 1053.14050
Borisov, Lev; Libgober, Anatoly
26
2003
On the \(K\)-theory of smooth toric DM stacks. Zbl 1171.14301
Borisov, Lev A.; Horja, R. Paul
22
2006
McKay correspondence for elliptic genera. Zbl 1153.58301
Borisov, Lev; Libgober, Anatoly
22
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.
19
2013
Singular toric Fano varieties. Zbl 0786.14028
Borisov, A. A.; Borisov, L. A.
16
1992
On the conjecture of King for smooth toric Deligne-Mumford stacks. Zbl 1210.14006
Borisov, Lev; Hua, Zheng
16
2009
Toric modular forms and nonvanishing of \(L\)-functions. Zbl 1070.11015
Borisov, Lev A.; Gunnells, Paul E.
11
2001
Toric modular forms of higher weight. Zbl 1124.11309
Borisov, Lev A.; Gunnells, Paul E.
10
2003
Twistor geometry and warped product orthogonal complex structures. Zbl 1227.53061
Borisov, Lev; Salamon, Simon; Viaclovsky, Jeff
10
2011
On the better behaved version of the GKZ hypergeometric system. Zbl 1284.33012
Borisov, Lev A.; Paul Horja, R.
9
2013
Intersections of two Grassmannians in \(\mathbb{P}^9\). Zbl 1470.14036
Borisov, Lev A.; Căldăraru, Andrei; Perry, Alexander
7
2020
Elliptic genera of singular varieties, orbifold elliptic genus and chiral de Rham complex. Zbl 1107.11023
Borisov, Lev A.; Libgober, Anatoly
7
2002
String cohomology of a toroidal singularity. Zbl 0949.14029
Borisov, Lev A.
6
2000
Toric varieties and modular forms. Zbl 1039.11022
Borisov, Lev A.; Gunnells, Paul E.
6
2001
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
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
4
2019
Higher Stanley-Reisner rings and toric residues. Zbl 1074.14048
Borisov, Lev A.
4
2005
The sum of squared logarithms inequality in arbitrary dimensions. Zbl 1400.26032
Borisov, Lev; Neff, Patrizio; Sra, Suvrit; Thiel, Christian
4
2017
Ulrich bundles on Enriques surfaces. Zbl 1429.14008
Borisov, Lev; Nuer, Howard
4
2018
On \((2,4)\) complete intersection threefolds that contain an Enriques surface. Zbl 1371.14045
Borisov, Lev A.; Nuer, Howard J.
3
2016
On stringy cohomology spaces. Zbl 1292.14029
Borisov, Lev A.
3
2014
Explicit equations of a fake projective plane. Zbl 1475.14070
Borisov, Lev A.; Keum, Jonghae
3
2020
Elliptic functions and equations of modular curves. Zbl 1093.11043
Borisov, Lev A.; Gunnells, Paul E.; Popescu, Sorin
2
2001
Finding integral diagonal pairs in a two dimensional \(\mathcal{N}\)-set. Zbl 1246.11061
Borisov, Lev A.; Jin, Renling
2
2011
On Calabi-Yau threefolds with large nonabelian fundamental groups. Zbl 1131.14044
Borisov, Lev; Hua, Zheng
2
2008
On Clifford double mirrors of toric complete intersections. Zbl 1427.14080
Borisov, Lev A.; Li, Zhan
2
2018
Applications of homological mirror symmetry to hypergeometric systems: duality conjectures. Zbl 1334.14024
Borisov, Lev A.; Horja, R. Paul
2
2015
Wonderful blowups associated to group actions. Zbl 1027.32025
Borisov, L. A.; Gunnells, P. E.
2
2002
On CY-LG correspondence for \((0,2)\) toric models. Zbl 1271.14074
Borisov, Lev A.; Kaufmann, Ralph M.
2
2012
Explicit equations of the Cartwright-Steger surface. Zbl 1442.14120
Borisov, Lev A.; Yeung, Sai-Kee
1
2020
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
7
2020
Explicit equations of a fake projective plane. Zbl 1475.14070
Borisov, Lev A.; Keum, Jonghae
3
2020
Explicit equations of the Cartwright-Steger surface. Zbl 1442.14120
Borisov, Lev A.; Yeung, Sai-Kee
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
4
2019
The class of the affine line is a zero divisor in the Grothendieck ring. Zbl 1415.14006
Borisov, Lev A.
31
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.
3
2016
Applications of homological mirror symmetry to hypergeometric systems: duality conjectures. Zbl 1334.14024
Borisov, Lev A.; Horja, R. Paul
2
2015
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.
19
2013
On the better behaved version of the GKZ hypergeometric system. Zbl 1284.33012
Borisov, Lev A.; Paul Horja, R.
9
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
34
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
28
2006
On the \(K\)-theory of smooth toric DM stacks. Zbl 1171.14301
Borisov, Lev A.; Horja, R. Paul
22
2006
The orbifold Chow ring of toric Deligne-Mumford stacks. Zbl 1178.14057
Borisov, Lev A.; Chen, Linda; Smith, Gregory G.
123
2005
McKay correspondence for elliptic genera. Zbl 1153.58301
Borisov, Lev; Libgober, Anatoly
22
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
26
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.
10
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.
2
2002
Vertex algebras and mirror symmetry. Zbl 0990.17023
Borisov, Lev A.
27
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
38
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.
66
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.
66
1996
Mirror duality and string-theoretic Hodge numbers. Zbl 0872.14035
Batyrev, Victor V.; Borisov, Lev A.
52
1996
Singular toric Fano varieties. Zbl 0786.14028
Borisov, A. A.; Borisov, L. A.
16
1992
all top 5

Cited by 610 Authors

23 Borisov, Lev A.
17 Halpern, Martin B.
16 Tseng, Hsian-Hua
14 Iritani, Hiroshi
10 Stapledon, Alan
9 Coates, Tom
8 Hosono, Shinobu
8 Katzarkov, Ludmil
8 Kreuzer, Maximilian
7 Gross, Mark
7 Jiang, Yunfeng
7 Mann, Etienne
7 Nill, Benjamin
7 Ueda, Kazushi
6 Chiodo, Alessandro
6 Favero, David
6 Maxim, Laurentiu G.
6 Schellekens, A. N.
6 Schürmann, Jörg
5 Ballard, Matthew Robert
5 Bantay, Peter
5 Dong, Chongying
5 Edidin, Dan
5 Fang, Bohan
5 Helfgott, C.
5 Kim, Bumsig
5 Maio, M.
5 Neff, Patrizio
5 Szabo, Richard J.
5 Takagi, Hiromichi
4 Batyrev, Victor V.
4 Boissière, Samuel
4 Braun, Andreas P.
4 Corti, Alessio
4 Diemer, Colin
4 Goldin, Rebecca F.
4 Harada, Megumi
4 Heluani, Reimundo
4 Jockers, Hans
4 Kerr, Gabriel
4 Lian, Bong H.
4 Libgober, Anatoly S.
4 Perroni, Fabio
4 Rimányi, Richárd
4 Ruan, Yongbin
4 Satriano, Matthew
4 Schepers, Jan
4 Weber, Andrzej
4 Yu, Nina
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 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, Richard Paul
3 Jones, Corey
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 Linshaw, Andrew Ross
3 Liu, Chiu-Chu Melissa
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 Sala, Francesco
3 Schimannek, Thorsten
3 Schweigert, Christoph
3 Sevenheck, Christian
3 Shoemaker, Mark
3 Skarke, Harald
3 Uehara, Hokuto
3 van Straten, Duco
3 Viaclovsky, Jeff A.
3 Wang, Zhilan
3 Wendland, Katrin
3 Xu, Feng
...and 510 more Authors
all top 5

Cited in 126 Serials

58 Advances in Mathematics
35 Journal of High Energy Physics
33 Communications in Mathematical Physics
27 Nuclear Physics. B
20 Mathematische Annalen
16 Journal of Algebraic Geometry
15 Journal of Geometry and Physics
14 International Journal of Modern Physics A
14 Duke Mathematical Journal
12 Selecta Mathematica. New Series
11 Mathematische Zeitschrift
11 Proceedings of the American Mathematical Society
10 Transactions of the American Mathematical Society
9 Geometry & Topology
9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
8 Journal of Mathematical Physics
8 Compositio Mathematica
8 International Journal of Mathematics
8 Transformation Groups
7 Journal of Algebra
7 Journal für die Reine und Angewandte Mathematik
7 Manuscripta Mathematica
6 Letters in Mathematical Physics
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 Forum of Mathematics, Sigma
5 Research in the Mathematical Sciences
4 Annales de l’Institut Fourier
4 Inventiones Mathematicae
4 Tôhoku 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 Memoirs of the American Mathematical Society
3 Discrete & Computational Geometry
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Revista Matemática Complutense
3 Communications in Contemporary Mathematics
3 Advances in Geometry
3 Advances in High Energy Physics
3 European Journal of Mathematics
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 International Journal of Geometric Methods in Modern Physics
2 Journal of Physics A: Mathematical and Theoretical
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 Journal of the Mechanics and Physics of Solids
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 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 IMRN. International Mathematics Research Notices
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
...and 26 more Serials
all top 5

Cited in 42 Fields

396 Algebraic geometry (14-XX)
148 Quantum theory (81-XX)
98 Differential geometry (53-XX)
61 Several complex variables and analytic spaces (32-XX)
49 Nonassociative rings and algebras (17-XX)
39 Number theory (11-XX)
35 Algebraic topology (55-XX)
34 Manifolds and cell complexes (57-XX)
28 Global analysis, analysis on manifolds (58-XX)
27 Relativity and gravitational theory (83-XX)
24 Convex and discrete geometry (52-XX)
23 Category theory; homological algebra (18-XX)
14 Commutative algebra (13-XX)
12 \(K\)-theory (19-XX)
12 Group theory and generalizations (20-XX)
10 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)
6 Functional analysis (46-XX)
6 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