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Kapranov, Mikhail M.

Author ID: kapranov.mikhail-m Recent zbMATH articles by "Kapranov, Mikhail M."
Published as: Kapranov, M. M.; Kapranov, Mikhail; Kapranov, M.; Kapranov, Mikhail M.
Homepage: http://users.math.yale.edu/~mk486/
External Links: MGP · Wikidata · GND · IdRef · theses.fr
all top 5

Serials

10 Advances in Mathematics
9 Functional Analysis and its Applications
5 Duke Mathematical Journal
4 Mathematische Annalen
4 Mathematics of the USSR. Izvestiya
4 Soviet Mathematics. Doklady
3 Russian Mathematical Surveys
3 Journal of Pure and Applied Algebra
3 Journal of the American Mathematical Society
3 Selecta Mathematica. New Series
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Cahiers de Topologie et Géométrie Différentielle Catégoriques
2 Compositio Mathematica
2 Journal für die Reine und Angewandte Mathematik
2 Transformation Groups
2 Journal of the European Mathematical Society (JEMS)
2 Pure and Applied Mathematics Quarterly
2 Lecture Notes in Mathematics
1 American Journal of Mathematics
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal of Algebra
1 Journal of Number Theory
1 Proceedings of the American Mathematical Society
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Leningrad Mathematical Journal
1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
1 Mathematics of the USSR, Sbornik
1 Matematicheskiĭ Sbornik
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Algebraic Geometry
1 Journal of Mathematical Sciences (New York)
1 Mathematical Research Letters
1 Documenta Mathematica
1 Geometry & Topology
1 Annals of Mathematics. Second Series
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Contemporary Mathematics
1 Progress in Mathematics
1 Journal of Noncommutative Geometry
1 Japanese Journal of Mathematics. 3rd Series
1 Forum of Mathematics, Sigma
1 Modern Birkhäuser Classics

Publications by Year

Citations contained in zbMATH Open

99 Publications have been cited 4,016 times in 3,237 Documents Cited by Year
Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
868
1994
Koszul duality for operads. Zbl 0855.18006
Ginzburg, Victor; Kapranov, Mikhail
299
1994
Representable functors, Serre functors, and mutations. Zbl 0703.14011
Bondal, A. I.; Kapranov, M. M.
169
1990
Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
155
2008
On the derived categories of coherent sheaves on some homogeneous spaces. Zbl 0651.18008
Kapranov, M. M.
130
1988
Chow quotients of Grassmannians. I. Zbl 0811.14043
Kapranov, M. M.
121
1993
Non-archimedean amoebas and tropical varieties. Zbl 1115.14051
Einsiedler, Manfred; Kapranov, Mikhail; Lind, Douglas
116
2006
Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
114
1990
2-categories and Zamolodchikov tetrahedra equations. Zbl 0809.18006
Kapranov, M. M.; Voevodsky, V. A.
114
1994
Hypergeometric functions and toric varieties. (Hypergeometric functions and toral manifolds.) Zbl 0721.33006
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
100
1989
Enhanced triangulated categories. Zbl 0729.18008
Bondal, A. I.; Kapranov, M. M.
98
1991
Modular operads. Zbl 0894.18005
Getzler, E.; Kapranov, M. M.
94
1998
Cyclic operads and cyclic homology. Zbl 0883.18013
Getzler, E.; Kapranov, M. M.
85
1995
Rozansky-Witten invariants via Atiyah classes. Zbl 0993.53026
Kapranov, M.
73
1999
Langlands reciprocity for algebraic surfaces. Zbl 0914.11040
Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric
66
1995
Kleinian singularities, derived categories and Hall algebras. Zbl 0997.14001
Kapranov, M.; Vasserot, E.
60
2000
Veronese curves and Grothendieck-Knudsen moduli space \(\overline{M_{0,n}}\). Zbl 0790.14020
Kapranov, M. M.
59
1993
The permutoassociahedron, Mac Lane’s coherence theorem and asymptotic zones for the KZ equation. Zbl 0812.18003
Kapranov, Mikhail M.
55
1993
Higher Segal spaces. Zbl 1459.18001
Dyckerhoff, Tobias; Kapranov, Mikhail
52
2019
Equipped triangulated categories. Zbl 0719.18005
Bondal, A. I.; Kapranov, M. M.
51
1990
Eisenstein series and quantum affine algebras. Zbl 0929.11015
Kapranov, M. M.
50
1997
Chow polytopes and general resultants. Zbl 0780.14027
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
50
1992
Derived Quot schemes. Zbl 1050.14042
Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail
43
2001
Arrangements of hyperplanes and vector bundles on \(\mathbb{P}^ n\). Zbl 0804.14007
Dolgachev, I.; Kapranov, M.
42
1993
Virtual fundamental classes via dg-manifolds. Zbl 1159.14002
Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail
39
2009
Braided monoidal 2-categories and Manin-Schechtman higher braid groups. Zbl 0791.18010
Kapranov, M.; Voevodsky, V.
37
1994
A characterization of A-discriminantal hypersurfaces in terms of logarithmic Gauss map. Zbl 0714.14031
Kapranov, M. M.
36
1991
Heisenberg doubles and derived categories. Zbl 0910.18005
Kapranov, M.
35
1998
Quotients of toric varieties. Zbl 0762.14023
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
35
1991
Cellular strings on polytopes. Zbl 0812.52007
Billera, Louis J.; Kapranov, M. M.; Sturmfels, Bernd
35
1994
Representation and character theory in 2-categories. Zbl 1136.18001
Ganter, Nora; Kapranov, Mikhail
33
2008
Combinatorial-geometric aspects of polycategory theory: Pasting schemes and higher Bruhat orders (list of results). Zbl 0748.18010
Kapranov, M. M.; Voevodskij, V. A.
32
1991
Modules and Morita theorem for operads. Zbl 1001.18004
Kapranov, M.; Manin, Yu.
31
2001
Perverse schobers and birational geometry. Zbl 1436.14037
Bondal, Alexey; Kapranov, Mikhail; Schechtman, Vadim
29
2018
On the derived category of coherent sheaves on Grassmann manifolds. Zbl 0564.14023
Kapranov, M. M.
28
1985
Noncommutative geometry based on conductor expansions. Zbl 0918.14001
Kapranov, M.
28
1998
Hyperdeterminants. Zbl 0774.15002
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
28
1992
Vertex algebras and the formal loop space. Zbl 1106.17038
Kapranov, Mikhail; Vasserot, Eric
25
2004
Triangulated surfaces in triangulated categories. Zbl 1403.18011
Dyckerhoff, Tobias; Kapranov, Mikhail
25
2018
Free \(n\)-category generated by a cube, oriented matroids, and higher Bruhat orders. Zbl 0766.20005
Voevodskij, V. A.; Kapranov, M. M.
24
1991
The Gauss map and a noncompact Riemann-Roch formula for constructible sheaves on semiabelian varieties. Zbl 1021.14016
Franecki, J.; Kapranov, M.
23
2000
Perverse sheaves over real hyperplane arrangements. Zbl 1360.14062
Kapranov, Mikhail; Schechtman, Vadim
22
2016
Free Lie algebroids and the space of paths. Zbl 1149.14003
Kapranov, Mikhail
21
2007
Derived Hilbert schemes. Zbl 1074.14003
Ciocan-Fontanine, Ionut; Kapranov, Mikhail M.
20
2002
Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
18
1990
Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
17
1990
Residue construction of Hecke algebras. Zbl 0884.22010
Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric
17
1997
Crossed simplicial groups and structured surfaces. Zbl 1373.18015
Dyckerhoff, T.; Kapranov, M.
16
2015
Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
14
1988
Analogies between the Langlands correspondence and topological quantum field theory. Zbl 0858.11062
Kapranov, M. M.
14
1995
Double affine Hecke algebras and \(2\)-dimensional local fields. Zbl 0958.20005
Kapranov, M.
14
2001
Formal loops. II: A local Riemann-Roch theorem for determinantal gerbes. Zbl 1129.14022
Kapranov, Mikhail; Vasserot, Éric
13
2007
Discriminants of polynomials in several variables. Zbl 0719.15003
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
13
1990
\(\infty\)-groupoids and homotopy types. Zbl 0754.18008
Kapranov, M. M.; Voevodskij, V. A.
13
1991
A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
13
1993
The derived category of coherent sheaves on a quadric. Zbl 0607.18004
Kapranov, M. M.
12
1986
Homogeneous bundles. Zbl 0742.14011
Bondal, A. I.; Kapranov, M. M.
12
1990
On DG-modules over the De Rham complex and the vanishing cycles functor. Zbl 0757.14010
Kapranov, M. M.
11
1991
Newton polyhedra of principal \(A\)-determinants. Zbl 0742.14042
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
10
1989
Symmetric and exterior powers of categories. Zbl 1307.18007
Ganter, Nora; Kapranov, Mikhail
9
2014
Microlocal sheaves and quiver varieties. Zbl 1370.14026
Bezrukavnikov, Roman; Kapranov, Mikhail
9
2016
Higher Kac-Moody algebras and moduli spaces of \(G\)-bundles. Zbl 1409.14027
Faonte, Giovanni; Hennion, Benjamin; Kapranov, Mikhail
9
2019
On the derived category and K-functor of coherent sheaves on intersections of quadrics. Zbl 0679.14005
Kapranov, M. M.
8
1989
Erratum to “Koszul duality for operads”. Zbl 0855.18007
Ginzburg, V.; Kapranov, M.
8
1995
Injective resolutions of \(BG\) and derived moduli spaces of local systems. Zbl 0972.18012
Kapranov, M.
8
2001
The Hall algebra of a curve. Zbl 1366.16026
Kapranov, Mikhail; Schiffmann, Olivier; Vasserot, Eric
8
2017
On cuspidal divisors on the modular varieties of elliptic modules. Zbl 0664.14025
Kapranov, M. M.
7
1988
Formal loops. III. Additive functions and the Radon transform. Zbl 1154.14007
Kapranov, M.; Vasserot, E.
6
2008
Supersymmetry and the formal loop space. Zbl 1219.14026
Kapranov, Mikhail; Vasserot, Eric
5
2011
Derived varieties of complexes and Kostant’s theorem for \(\mathfrak{gl}(m|n)\). Zbl 1433.17025
Kapranov, M.; Pimenov, S.
5
2017
A-discriminants and Cayley-Koszul complexes. Zbl 0716.13016
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
5
1990
Algebra of the infrared and secondary polytopes. Zbl 1348.81424
Kapranov, M.; Kontsevich, M.; Soibelman, Y.
5
2016
Supergeometry in mathematics and physics. Zbl 1487.58038
Kapranov, Mikhail
5
2021
Shuffle algebras and perverse sheaves. Zbl 1464.14022
Kapranov, Mikhail; Schechtman, Vadim
5
2020
Noncommutative geometry and path integrals. Zbl 1204.58008
Kapranov, Mikhail
5
2009
Hypergeometric functions on reductive groups. Zbl 0987.33008
Kapranov, Mikhail
4
1998
Derived category of coherent sheaves on Grassmann varieties. Zbl 0571.14007
Kapranov, M. M.
4
1983
Real mixed Hodge structures. Zbl 1276.14013
Kapranov, Mikhail
4
2012
Riemann-Roch for real varieties. Zbl 1230.14010
Bressler, Paul; Kapranov, Mikhail; Tsygan, Boris; Vasserot, Eric
4
2009
Parabolic divisors on modular varieties of elliptic modules. Zbl 0627.14032
Kapranov, M. M.
3
1987
Hypergeometric functions, toric varieties and Newton polyhedra. Zbl 0785.33008
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
3
1991
Hidden Stasheff polytopes in algebraic K-theory and in the space of Morse functions. Zbl 0932.19002
Kapranov, Mikhail M.; Saito, Masahico
3
1999
Toric arc schemes and quantum cohomology of toric varieties. Zbl 1097.14043
Arkhipov, Sergey; Kapranov, Mikhail
3
2006
Projectively dual varieties and hyperdeterminants. Zbl 0715.14042
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
3
1989
On the dimension and degree of the projective dual variety: A \(q\)-analog of the Katz-Kleiman formula. Zbl 0828.14037
Gelfand, I. M.; Kapranov, M. M.
3
1993
Schur quadrics, cubic surfaces and rank 2 vector bundles over the projective plane. Zbl 0809.14011
Dolgachev, I.; Kapranov, M.
3
1993
Gel’fand-Fuchs cohomology in algebraic geometry and factorization algebras. Zbl 1515.14031
Hennion, Benjamin; Kapranov, Mikhail
3
2023
Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic. Zbl 1008.20006
Kapranov, Mikhail
2
2000
A higher-dimensional generalization of the Goss zeta function. Zbl 0819.11055
Kapranov, M.
2
1995
The twistor transformation and algebraic-geometric constructions of solutions of the equations of field theory. Zbl 0614.32025
Kapranov, M. M.; Manin, Yu. I.
2
1986
\(\infty\)-groupoids as a model for a homotopy category. Zbl 0721.55015
Voevodskij, V. A.; Kapranov, M. M.
2
1990
Mutations and Serre functors on constructive bundles. Zbl 0744.55003
Kapranov, M. M.
2
1990
Contingency tables with variable margins (with an appendix by Pavel Etingof). Zbl 1454.05012
Kapranov, Mikhail; Schechtman, Vadim
2
2020
Preface [to the International Conference “Geometry and Dynamics of Groups and Spaces. In Memory of Alexander Reznikov”]. Zbl 1134.01313
Kapranov, Mikhail; Kolyada, Sergiy; Manin, Yuri; Moree, Pieter; Potyagailo, Leonid
1
2008
Operads and algebraic geometry. Zbl 0928.18003
Kapranov, M.
1
1998
Spherical Hall algebra of \(\overline{\text{Spec}(\mathbb Z)}\). Zbl 1357.11054
Kapranov, M.; Schiffmann, O.; Vasserot, E.
1
2014
The cohomological Hall algebra of a surface and factorization cohomology. Zbl 07774907
Kapranov, Mikhail; Vasserot, Eric
1
2023
Infinite-dimensional (dg) Lie algebras and factorization algebras in algebraic geometry. Zbl 1467.14007
Kapranov, Mikhail
1
2021
Topology and \(K\)-theory. Lectures by Daniel Quillen. With a contribution by Mikhail Kapranov. Zbl 1434.19001
Penner, Robert
1
2020
Gel’fand-Fuchs cohomology in algebraic geometry and factorization algebras. Zbl 1515.14031
Hennion, Benjamin; Kapranov, Mikhail
3
2023
The cohomological Hall algebra of a surface and factorization cohomology. Zbl 07774907
Kapranov, Mikhail; Vasserot, Eric
1
2023
Supergeometry in mathematics and physics. Zbl 1487.58038
Kapranov, Mikhail
5
2021
Infinite-dimensional (dg) Lie algebras and factorization algebras in algebraic geometry. Zbl 1467.14007
Kapranov, Mikhail
1
2021
Shuffle algebras and perverse sheaves. Zbl 1464.14022
Kapranov, Mikhail; Schechtman, Vadim
5
2020
Contingency tables with variable margins (with an appendix by Pavel Etingof). Zbl 1454.05012
Kapranov, Mikhail; Schechtman, Vadim
2
2020
Topology and \(K\)-theory. Lectures by Daniel Quillen. With a contribution by Mikhail Kapranov. Zbl 1434.19001
Penner, Robert
1
2020
Higher Segal spaces. Zbl 1459.18001
Dyckerhoff, Tobias; Kapranov, Mikhail
52
2019
Higher Kac-Moody algebras and moduli spaces of \(G\)-bundles. Zbl 1409.14027
Faonte, Giovanni; Hennion, Benjamin; Kapranov, Mikhail
9
2019
Perverse schobers and birational geometry. Zbl 1436.14037
Bondal, Alexey; Kapranov, Mikhail; Schechtman, Vadim
29
2018
Triangulated surfaces in triangulated categories. Zbl 1403.18011
Dyckerhoff, Tobias; Kapranov, Mikhail
25
2018
The Hall algebra of a curve. Zbl 1366.16026
Kapranov, Mikhail; Schiffmann, Olivier; Vasserot, Eric
8
2017
Derived varieties of complexes and Kostant’s theorem for \(\mathfrak{gl}(m|n)\). Zbl 1433.17025
Kapranov, M.; Pimenov, S.
5
2017
Perverse sheaves over real hyperplane arrangements. Zbl 1360.14062
Kapranov, Mikhail; Schechtman, Vadim
22
2016
Microlocal sheaves and quiver varieties. Zbl 1370.14026
Bezrukavnikov, Roman; Kapranov, Mikhail
9
2016
Algebra of the infrared and secondary polytopes. Zbl 1348.81424
Kapranov, M.; Kontsevich, M.; Soibelman, Y.
5
2016
Crossed simplicial groups and structured surfaces. Zbl 1373.18015
Dyckerhoff, T.; Kapranov, M.
16
2015
Symmetric and exterior powers of categories. Zbl 1307.18007
Ganter, Nora; Kapranov, Mikhail
9
2014
Spherical Hall algebra of \(\overline{\text{Spec}(\mathbb Z)}\). Zbl 1357.11054
Kapranov, M.; Schiffmann, O.; Vasserot, E.
1
2014
Real mixed Hodge structures. Zbl 1276.14013
Kapranov, Mikhail
4
2012
Supersymmetry and the formal loop space. Zbl 1219.14026
Kapranov, Mikhail; Vasserot, Eric
5
2011
Virtual fundamental classes via dg-manifolds. Zbl 1159.14002
Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail
39
2009
Noncommutative geometry and path integrals. Zbl 1204.58008
Kapranov, Mikhail
5
2009
Riemann-Roch for real varieties. Zbl 1230.14010
Bressler, Paul; Kapranov, Mikhail; Tsygan, Boris; Vasserot, Eric
4
2009
Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
155
2008
Representation and character theory in 2-categories. Zbl 1136.18001
Ganter, Nora; Kapranov, Mikhail
33
2008
Formal loops. III. Additive functions and the Radon transform. Zbl 1154.14007
Kapranov, M.; Vasserot, E.
6
2008
Preface [to the International Conference “Geometry and Dynamics of Groups and Spaces. In Memory of Alexander Reznikov”]. Zbl 1134.01313
Kapranov, Mikhail; Kolyada, Sergiy; Manin, Yuri; Moree, Pieter; Potyagailo, Leonid
1
2008
Free Lie algebroids and the space of paths. Zbl 1149.14003
Kapranov, Mikhail
21
2007
Formal loops. II: A local Riemann-Roch theorem for determinantal gerbes. Zbl 1129.14022
Kapranov, Mikhail; Vasserot, Éric
13
2007
Non-archimedean amoebas and tropical varieties. Zbl 1115.14051
Einsiedler, Manfred; Kapranov, Mikhail; Lind, Douglas
116
2006
Toric arc schemes and quantum cohomology of toric varieties. Zbl 1097.14043
Arkhipov, Sergey; Kapranov, Mikhail
3
2006
Vertex algebras and the formal loop space. Zbl 1106.17038
Kapranov, Mikhail; Vasserot, Eric
25
2004
Derived Hilbert schemes. Zbl 1074.14003
Ciocan-Fontanine, Ionut; Kapranov, Mikhail M.
20
2002
Derived Quot schemes. Zbl 1050.14042
Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail
43
2001
Modules and Morita theorem for operads. Zbl 1001.18004
Kapranov, M.; Manin, Yu.
31
2001
Double affine Hecke algebras and \(2\)-dimensional local fields. Zbl 0958.20005
Kapranov, M.
14
2001
Injective resolutions of \(BG\) and derived moduli spaces of local systems. Zbl 0972.18012
Kapranov, M.
8
2001
Kleinian singularities, derived categories and Hall algebras. Zbl 0997.14001
Kapranov, M.; Vasserot, E.
60
2000
The Gauss map and a noncompact Riemann-Roch formula for constructible sheaves on semiabelian varieties. Zbl 1021.14016
Franecki, J.; Kapranov, M.
23
2000
Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic. Zbl 1008.20006
Kapranov, Mikhail
2
2000
Rozansky-Witten invariants via Atiyah classes. Zbl 0993.53026
Kapranov, M.
73
1999
Hidden Stasheff polytopes in algebraic K-theory and in the space of Morse functions. Zbl 0932.19002
Kapranov, Mikhail M.; Saito, Masahico
3
1999
Modular operads. Zbl 0894.18005
Getzler, E.; Kapranov, M. M.
94
1998
Heisenberg doubles and derived categories. Zbl 0910.18005
Kapranov, M.
35
1998
Noncommutative geometry based on conductor expansions. Zbl 0918.14001
Kapranov, M.
28
1998
Hypergeometric functions on reductive groups. Zbl 0987.33008
Kapranov, Mikhail
4
1998
Operads and algebraic geometry. Zbl 0928.18003
Kapranov, M.
1
1998
Eisenstein series and quantum affine algebras. Zbl 0929.11015
Kapranov, M. M.
50
1997
Residue construction of Hecke algebras. Zbl 0884.22010
Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric
17
1997
Cyclic operads and cyclic homology. Zbl 0883.18013
Getzler, E.; Kapranov, M. M.
85
1995
Langlands reciprocity for algebraic surfaces. Zbl 0914.11040
Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric
66
1995
Analogies between the Langlands correspondence and topological quantum field theory. Zbl 0858.11062
Kapranov, M. M.
14
1995
Erratum to “Koszul duality for operads”. Zbl 0855.18007
Ginzburg, V.; Kapranov, M.
8
1995
A higher-dimensional generalization of the Goss zeta function. Zbl 0819.11055
Kapranov, M.
2
1995
Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
868
1994
Koszul duality for operads. Zbl 0855.18006
Ginzburg, Victor; Kapranov, Mikhail
299
1994
2-categories and Zamolodchikov tetrahedra equations. Zbl 0809.18006
Kapranov, M. M.; Voevodsky, V. A.
114
1994
Braided monoidal 2-categories and Manin-Schechtman higher braid groups. Zbl 0791.18010
Kapranov, M.; Voevodsky, V.
37
1994
Cellular strings on polytopes. Zbl 0812.52007
Billera, Louis J.; Kapranov, M. M.; Sturmfels, Bernd
35
1994
Chow quotients of Grassmannians. I. Zbl 0811.14043
Kapranov, M. M.
121
1993
Veronese curves and Grothendieck-Knudsen moduli space \(\overline{M_{0,n}}\). Zbl 0790.14020
Kapranov, M. M.
59
1993
The permutoassociahedron, Mac Lane’s coherence theorem and asymptotic zones for the KZ equation. Zbl 0812.18003
Kapranov, Mikhail M.
55
1993
Arrangements of hyperplanes and vector bundles on \(\mathbb{P}^ n\). Zbl 0804.14007
Dolgachev, I.; Kapranov, M.
42
1993
A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
13
1993
On the dimension and degree of the projective dual variety: A \(q\)-analog of the Katz-Kleiman formula. Zbl 0828.14037
Gelfand, I. M.; Kapranov, M. M.
3
1993
Schur quadrics, cubic surfaces and rank 2 vector bundles over the projective plane. Zbl 0809.14011
Dolgachev, I.; Kapranov, M.
3
1993
Chow polytopes and general resultants. Zbl 0780.14027
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
50
1992
Hyperdeterminants. Zbl 0774.15002
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
28
1992
Enhanced triangulated categories. Zbl 0729.18008
Bondal, A. I.; Kapranov, M. M.
98
1991
A characterization of A-discriminantal hypersurfaces in terms of logarithmic Gauss map. Zbl 0714.14031
Kapranov, M. M.
36
1991
Quotients of toric varieties. Zbl 0762.14023
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
35
1991
Combinatorial-geometric aspects of polycategory theory: Pasting schemes and higher Bruhat orders (list of results). Zbl 0748.18010
Kapranov, M. M.; Voevodskij, V. A.
32
1991
Free \(n\)-category generated by a cube, oriented matroids, and higher Bruhat orders. Zbl 0766.20005
Voevodskij, V. A.; Kapranov, M. M.
24
1991
\(\infty\)-groupoids and homotopy types. Zbl 0754.18008
Kapranov, M. M.; Voevodskij, V. A.
13
1991
On DG-modules over the De Rham complex and the vanishing cycles functor. Zbl 0757.14010
Kapranov, M. M.
11
1991
Hypergeometric functions, toric varieties and Newton polyhedra. Zbl 0785.33008
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
3
1991
Representable functors, Serre functors, and mutations. Zbl 0703.14011
Bondal, A. I.; Kapranov, M. M.
169
1990
Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
114
1990
Equipped triangulated categories. Zbl 0719.18005
Bondal, A. I.; Kapranov, M. M.
51
1990
Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
18
1990
Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
17
1990
Discriminants of polynomials in several variables. Zbl 0719.15003
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
13
1990
Homogeneous bundles. Zbl 0742.14011
Bondal, A. I.; Kapranov, M. M.
12
1990
A-discriminants and Cayley-Koszul complexes. Zbl 0716.13016
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
5
1990
\(\infty\)-groupoids as a model for a homotopy category. Zbl 0721.55015
Voevodskij, V. A.; Kapranov, M. M.
2
1990
Mutations and Serre functors on constructive bundles. Zbl 0744.55003
Kapranov, M. M.
2
1990
Hypergeometric functions and toric varieties. (Hypergeometric functions and toral manifolds.) Zbl 0721.33006
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
100
1989
Newton polyhedra of principal \(A\)-determinants. Zbl 0742.14042
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
10
1989
On the derived category and K-functor of coherent sheaves on intersections of quadrics. Zbl 0679.14005
Kapranov, M. M.
8
1989
Projectively dual varieties and hyperdeterminants. Zbl 0715.14042
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
3
1989
On the derived categories of coherent sheaves on some homogeneous spaces. Zbl 0651.18008
Kapranov, M. M.
130
1988
Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
14
1988
On cuspidal divisors on the modular varieties of elliptic modules. Zbl 0664.14025
Kapranov, M. M.
7
1988
Parabolic divisors on modular varieties of elliptic modules. Zbl 0627.14032
Kapranov, M. M.
3
1987
The derived category of coherent sheaves on a quadric. Zbl 0607.18004
Kapranov, M. M.
12
1986
The twistor transformation and algebraic-geometric constructions of solutions of the equations of field theory. Zbl 0614.32025
Kapranov, M. M.; Manin, Yu. I.
2
1986
On the derived category of coherent sheaves on Grassmann manifolds. Zbl 0564.14023
Kapranov, M. M.
28
1985
Derived category of coherent sheaves on Grassmann varieties. Zbl 0571.14007
Kapranov, M. M.
4
1983
all top 5

Cited by 3,191 Authors

45 Kapranov, Mikhail M.
36 Sturmfels, Bernd
27 Dickenstein, Alicia M.
20 Katzarkov, Ludmil
19 Mirò-Roig, Rosa Maria
19 Tabuada, Gonçalo
18 Markl, Martin
18 Van den Bergh, Michel
16 Jing, Naihuan
16 Tsikh, Avgust Karlovich
14 Busé, Laurent
14 Ottaviani, Giorgio Maria
14 Polishchuk, Alexander Evgen’evich
13 Emiris, Ioannis Z.
13 Morozov, Alexei Yurievich
13 Santos, Francisco
12 Bremner, Murray R.
12 Forsgård, Jens
12 Manivel, Laurent
12 Orlov, Dmitri O.
12 Pilaud, Vincent
12 Rojas, J. Maurice
12 Vasserot, Eric
12 Willwacher, Thomas Hans
11 Costa, Laura
11 D’Andrea, Carlos
11 Dotsenko, Vladimir Viktorovich
11 Faenzi, Daniele
11 Gaubert, Stéphane
11 Matusevich, Laura Felicia
11 Mikhalkin, Evgeniĭ N.
11 Schiffmann, Olivier G.
11 Takayama, Nobuki
11 Vallette, Bruno
11 Xu, Ping
11 Zhang, Weinian
10 Joswig, Michael
10 Kock, Joachim
10 Kolesnikov, Pavel Sergeevich
10 Kuznetsov, Aleksandr Gennad’evich
10 Lunts, Valery A.
10 Mikhalkin, Grigory B.
10 Walther, Uli
10 Ziegler, Günter Matthias
9 de Wolff, Timo
9 Favero, David
9 Fernández-Fernández, María-Cruz
9 Hosono, Shinobu
9 Jeronimo, Gabriela
9 Lazarev, Andrey
9 Sadykov, Timur Mradovich
9 Stiénon, Mathieu
9 Takeuchi, Kiyoshi
9 Theobald, Thorsten
9 Ward, Benjamin C.
9 Zelevinskiĭ, Andreĭ V.
9 Zhang, Haicheng
8 Ballico, Edoardo
8 Berkesch Zamaere, Christine
8 Calaque, Damien
8 Cattani, Eduardo H.
8 De Loera, Jesús A.
8 Di Rocco, Sandra
8 Fresse, Benoit
8 Giansiracusa, Noah
8 Giraudo, Samuele
8 Kuniba, Atsuo
8 Moon, Han-Bom
8 Mourrain, Bernard
8 Nisse, Mounir
8 Pournin, Lionel
8 Pridham, Jonathan Paul
8 Reiner, Victor
8 Remm, Elisabeth
8 Schechtman, Vadim
8 Sibilla, Nicolò
8 Toën, Bertrand
8 Vallès, Jean
8 Yau, Donald Y.
8 Young, Matthew B.
7 Ballard, Matthew Robert
7 Berest, Yuri Yu.
7 Bolognesi, Michele
7 Chan, Kwokwai
7 Dyckerhoff, Tobias
7 Esterov, Alexander I.
7 Francis, John
7 Gao, Xiaoshan
7 Hackney, Philip
7 Hausen, Jürgen
7 Holweck, Frédéric
7 Huh, Sukmoon
7 Iritani, Hiroshi
7 Isaev, Alexander
7 Katz, Eric
7 Kaufmann, Ralph M.
7 Leung, Naichung Conan
7 Li, Wei
7 Lu, Ming
7 Manin, Yuriĭ Ivanovich
...and 3,091 more Authors
all top 5

Cited in 380 Serials

273 Advances in Mathematics
151 Journal of Algebra
112 Journal of Pure and Applied Algebra
86 Communications in Mathematical Physics
86 Journal of Symbolic Computation
75 Transactions of the American Mathematical Society
66 Journal of High Energy Physics
65 Selecta Mathematica. New Series
54 Duke Mathematical Journal
53 Mathematische Zeitschrift
51 Mathematische Annalen
51 Proceedings of the American Mathematical Society
47 Communications in Algebra
47 Compositio Mathematica
41 Linear Algebra and its Applications
38 Journal of Mathematical Physics
38 Annales de l’Institut Fourier
38 Algebraic & Geometric Topology
35 Letters in Mathematical Physics
35 Discrete & Computational Geometry
29 Journal of Geometry and Physics
29 Applied Categorical Structures
26 Geometry & Topology
26 Journal of Noncommutative Geometry
25 Algebras and Representation Theory
24 Manuscripta Mathematica
23 Inventiones Mathematicae
23 Journal of Combinatorial Theory. Series A
23 Advances in Applied Mathematics
23 Journal of Algebraic Combinatorics
23 Journal of Algebraic Geometry
23 Comptes Rendus. Mathématique. Académie des Sciences, Paris
22 European Journal of Mathematics
21 Journal of Mathematical Sciences (New York)
21 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
20 Journal of the American Mathematical Society
20 Journal of Homotopy and Related Structures
18 Journal of the London Mathematical Society. Second Series
18 Theory and Applications of Categories
18 Journal of the European Mathematical Society (JEMS)
17 Forum of Mathematics, Sigma
16 Nuclear Physics. B
15 Journal für die Reine und Angewandte Mathematik
15 European Journal of Combinatorics
15 Journal of Algebra and its Applications
14 Bulletin of the London Mathematical Society
14 Functional Analysis and its Applications
14 Journal of Number Theory
14 Michigan Mathematical Journal
14 Journal of Siberian Federal University. Mathematics & Physics
14 SIAM Journal on Applied Algebra and Geometry
13 Israel Journal of Mathematics
13 Linear and Multilinear Algebra
13 Theoretical and Mathematical Physics
13 Mathematics of Computation
13 Collectanea Mathematica
13 Memoirs of the American Mathematical Society
13 Tôhoku Mathematical Journal. Second Series
12 Mathematische Nachrichten
12 Transformation Groups
12 Proceedings of the Steklov Institute of Mathematics
11 International Journal of Mathematics
11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
11 Journal of the Institute of Mathematics of Jussieu
11 Science China. Mathematics
10 Annali di Matematica Pura ed Applicata. Serie Quarta
10 Nagoya Mathematical Journal
10 Proceedings of the London Mathematical Society. Third Series
10 Annals of Mathematics. Second Series
10 Advances in Geometry
9 Beiträge zur Algebra und Geometrie
9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
9 Communications in Contemporary Mathematics
9 Foundations of Computational Mathematics
8 Russian Mathematical Surveys
8 Topology and its Applications
8 Differential Geometry and its Applications
8 Documenta Mathematica
8 Séminaire Lotharingien de Combinatoire
8 International Journal of Geometric Methods in Modern Physics
8 Journal of Physics A: Mathematical and Theoretical
8 Research in the Mathematical Sciences
7 Journal of Mathematical Analysis and Applications
7 Cahiers de Topologie et Géométrie Différentielle Catégoriques
7 Journal of Differential Equations
7 Publications of the Research Institute for Mathematical Sciences, Kyoto University
7 Theoretical Computer Science
7 Journal of Complexity
7 Revista Matemática Iberoamericana
7 Finite Fields and their Applications
7 The Electronic Journal of Combinatorics
7 Izvestiya: Mathematics
7 Representation Theory
7 Arnold Mathematical Journal
7 Higher Structures
6 Discrete Mathematics
6 Mathematical Notes
6 Reviews in Mathematical Physics
6 Publications Mathématiques
6 Mathematika
...and 280 more Serials
all top 5

Cited in 60 Fields

1,507 Algebraic geometry (14-XX)
760 Category theory; homological algebra (18-XX)
490 Associative rings and algebras (16-XX)
395 Nonassociative rings and algebras (17-XX)
325 Quantum theory (81-XX)
305 Commutative algebra (13-XX)
280 Convex and discrete geometry (52-XX)
274 Several complex variables and analytic spaces (32-XX)
252 Combinatorics (05-XX)
240 Differential geometry (53-XX)
239 Algebraic topology (55-XX)
171 Group theory and generalizations (20-XX)
159 Manifolds and cell complexes (57-XX)
156 Linear and multilinear algebra; matrix theory (15-XX)
150 Computer science (68-XX)
144 Number theory (11-XX)
126 Special functions (33-XX)
104 Field theory and polynomials (12-XX)
96 \(K\)-theory (19-XX)
89 Global analysis, analysis on manifolds (58-XX)
80 Numerical analysis (65-XX)
66 Dynamical systems and ergodic theory (37-XX)
62 Topological groups, Lie groups (22-XX)
53 Ordinary differential equations (34-XX)
47 Order, lattices, ordered algebraic structures (06-XX)
47 Functions of a complex variable (30-XX)
42 Geometry (51-XX)
41 Partial differential equations (35-XX)
41 Difference and functional equations (39-XX)
40 Relativity and gravitational theory (83-XX)
39 Biology and other natural sciences (92-XX)
36 Functional analysis (46-XX)
32 Operations research, mathematical programming (90-XX)
30 Real functions (26-XX)
27 Statistical mechanics, structure of matter (82-XX)
24 Mathematical logic and foundations (03-XX)
22 Operator theory (47-XX)
21 Probability theory and stochastic processes (60-XX)
20 Statistics (62-XX)
14 Mechanics of particles and systems (70-XX)
10 General and overarching topics; collections (00-XX)
10 History and biography (01-XX)
10 Systems theory; control (93-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 General topology (54-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Information and communication theory, circuits (94-XX)
6 General algebraic systems (08-XX)
6 Approximations and expansions (41-XX)
5 Integral transforms, operational calculus (44-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
3 Measure and integration (28-XX)
3 Potential theory (31-XX)
3 Abstract harmonic analysis (43-XX)
2 Integral equations (45-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

Citations by Year

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