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Cattani, Eduardo H.

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Author ID: cattani.eduardo-h Recent zbMATH articles by "Cattani, Eduardo H."
Published as: Cattani, Eduardo; Cattani, Eduardo H.; Cattani, E.
Further Spellings: Cattani, Eduardo Hector C.
Homepage: https://www.math.umass.edu/directory/faculty/eduardo-cattani
External Links: MGP · Google Scholar · ResearchGate · dblp

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 382 times in 268 Documents Cited by Year
Degeneration of Hodge structures. Zbl 0617.14005
Cattani, Eduardo; Kaplan, Aroldo; Schmid, Wilfried
81
1986
Polarized mixed Hodge structures and the local monodromy of a variation of Hodge structure. Zbl 0516.14005
Cattani, Eduardo; Kaplan, Aroldo
41
1982
On the locus of Hodge classes. Zbl 0851.14004
Cattani, Eduardo; Deligne, Pierre; Kaplan, Aroldo
31
1995
\(L^ 2\) and intersection cohomologies for a polarizable variation of Hodge structure. Zbl 0611.14006
Cattani, Eduardo; Kaplan, Aroldo; Schmid, Wilfried
25
1987
Residues and resultants. Zbl 0933.14033
Cattani, Eduardo; Dickenstein, Alicia; Sturmfels, Bernd
22
1998
Computing multidimensional residues. Zbl 0882.13020
Cattani, E.; Dickenstein, A.; Sturmfels, Bernd
21
1996
The \({\mathcal A}\)-hypergeometric system associated with a monomial curve. Zbl 0952.33009
Cattani, Eduardo; D’Andrea, Carlos; Dickenstein, Alicia
16
1999
Rational hypergeometric functions. Zbl 0990.33013
Cattani, Eduardo; Dickenstein, Alicia; Sturmfels, Bernd
15
2001
A global view of residues in the torus. Zbl 0899.14024
Cattani, Eduardo; Dickenstein, Alicia
15
1997
Mixed discriminants. Zbl 1273.13051
Cattani, Eduardo; Cueto, María Angélica; Dickenstein, Alicia; Di Rocco, Sandra; Sturmfels, Bernd
14
2013
Residues in toric varieties. Zbl 0883.14029
Cattani, Eduardo; Cox, David; Dickenstein, Alicia
14
1997
Degenerating variations of Hodge structure. Zbl 0705.14006
Cattani, Eduardo; Kaplan, Aroldo
13
1989
Restriction of \(A\)-discriminants and dual defect toric varieties. Zbl 1167.14326
Curran, Raymond; Cattani, Eduardo
11
2007
Mixed Lefschetz theorems and Hodge-Riemann bilinear relations. Zbl 1149.32014
Cattani, Eduardo
9
2008
Introduction to residues and resultants. Zbl 1152.14312
Cattani, Eduardo; Dickenstein, Alicia
7
2005
Extension of period mappings for Hodge structures of weight two. Zbl 0363.32018
Cattani, Eduardo H.; Kaplan, Aroldo G.
6
1977
Complete intersections in toric ideals. Zbl 1112.14059
Cattani, Eduardo; Curran, Raymond; Dickenstein, Alicia
5
2007
Counting solutions to binomial complete intersections. Zbl 1112.13028
Cattani, Eduardo; Dickenstein, Alicia
5
2007
The monodromy weight filtration for a several variables degeneration of Hodge structures of weight two. Zbl 0408.32005
Cattani, Eduardo H.; Kaplan, Aroldo G.
4
1979
Binomial residues. Zbl 1015.32007
Cattani, Eduardo; Dickenstein, Alicia; Sturmfels, Bernd
3
2002
Sur la cohomology \(L_ 2\) et la cohomologie d’intersection à coefficients dans une variation de structure de Hodge. (On the \(L_ 2\)- cohomology and the intersection cohomology with coefficients in a variation of Hodge structures). Zbl 0645.14008
Cattani, Eduardo; Kaplan, Aroldo
3
1985
Horizontal \(SL_2\)-orbits in flag domains. Zbl 0363.32022
Cattani, Eduardo H.; Kaplan, Aroldo G.
3
1978
Frobenius modules and Hodge asymptotics. Zbl 1050.14030
Cattani, Eduardo; Fernandez, Javier
3
2003
Planar configurations of lattice vectors and GKZ-rational toric fourfolds in \(\mathbb P^6\). Zbl 1054.33009
Cattani, Eduardo; Dickenstein, Alicia
3
2004
The structure of bivariate rational hypergeometric functions. Zbl 1218.33004
Cattani, Eduardo; Dickenstein, Alicia; Villegas, Fernando Rodríguez
2
2011
Algebraicity of Hodge loci for variations of Hodge structure. Zbl 1314.14017
Cattani, Eduardo; Kaplan, Aroldo
2
2014
Horizontal \(SL_2\)-orbits in flag domains. Zbl 0371.32022
Cattani, Eduardo H.; Kaplan, Aroldo G.
2
1978
Asymptotic Hodge theory and quantum products. Zbl 1045.32026
Cattani, Eduardo; Fernandez, Javier
1
2001
Variations of polarizd Hodge structure: Asymptotics and monodromy. Zbl 0626.14008
Cattani, Eduardo; Kaplan, Aroldo; Schmid, Wilfried
1
1987
Mixed Hodge structures, compactifications and monodromy weight filtration. Zbl 0579.14010
Cattani, Eduardo H.
1
1984
Mixed Hodge structures and compactifications of Siegel’s space. (Preliminary report). Zbl 0471.14002
Carlson, James A.; Cattani, Eduardo H.; Kaplan, Aroldo G.
1
1980
On the local monodromy of a variation of Hodge structure. Zbl 0472.14007
Cattani, Eduardo; Kaplan, Aroldo
1
1981
Introduction to variations of Hodge structure. Zbl 1321.14001
Cattani, Eduardo
1
2014
Algebraicity of Hodge loci for variations of Hodge structure. Zbl 1314.14017
Cattani, Eduardo; Kaplan, Aroldo
2
2014
Introduction to variations of Hodge structure. Zbl 1321.14001
Cattani, Eduardo
1
2014
Mixed discriminants. Zbl 1273.13051
Cattani, Eduardo; Cueto, María Angélica; Dickenstein, Alicia; Di Rocco, Sandra; Sturmfels, Bernd
14
2013
The structure of bivariate rational hypergeometric functions. Zbl 1218.33004
Cattani, Eduardo; Dickenstein, Alicia; Villegas, Fernando Rodríguez
2
2011
Mixed Lefschetz theorems and Hodge-Riemann bilinear relations. Zbl 1149.32014
Cattani, Eduardo
9
2008
Restriction of \(A\)-discriminants and dual defect toric varieties. Zbl 1167.14326
Curran, Raymond; Cattani, Eduardo
11
2007
Complete intersections in toric ideals. Zbl 1112.14059
Cattani, Eduardo; Curran, Raymond; Dickenstein, Alicia
5
2007
Counting solutions to binomial complete intersections. Zbl 1112.13028
Cattani, Eduardo; Dickenstein, Alicia
5
2007
Introduction to residues and resultants. Zbl 1152.14312
Cattani, Eduardo; Dickenstein, Alicia
7
2005
Planar configurations of lattice vectors and GKZ-rational toric fourfolds in \(\mathbb P^6\). Zbl 1054.33009
Cattani, Eduardo; Dickenstein, Alicia
3
2004
Frobenius modules and Hodge asymptotics. Zbl 1050.14030
Cattani, Eduardo; Fernandez, Javier
3
2003
Binomial residues. Zbl 1015.32007
Cattani, Eduardo; Dickenstein, Alicia; Sturmfels, Bernd
3
2002
Rational hypergeometric functions. Zbl 0990.33013
Cattani, Eduardo; Dickenstein, Alicia; Sturmfels, Bernd
15
2001
Asymptotic Hodge theory and quantum products. Zbl 1045.32026
Cattani, Eduardo; Fernandez, Javier
1
2001
The \({\mathcal A}\)-hypergeometric system associated with a monomial curve. Zbl 0952.33009
Cattani, Eduardo; D’Andrea, Carlos; Dickenstein, Alicia
16
1999
Residues and resultants. Zbl 0933.14033
Cattani, Eduardo; Dickenstein, Alicia; Sturmfels, Bernd
22
1998
A global view of residues in the torus. Zbl 0899.14024
Cattani, Eduardo; Dickenstein, Alicia
15
1997
Residues in toric varieties. Zbl 0883.14029
Cattani, Eduardo; Cox, David; Dickenstein, Alicia
14
1997
Computing multidimensional residues. Zbl 0882.13020
Cattani, E.; Dickenstein, A.; Sturmfels, Bernd
21
1996
On the locus of Hodge classes. Zbl 0851.14004
Cattani, Eduardo; Deligne, Pierre; Kaplan, Aroldo
31
1995
Degenerating variations of Hodge structure. Zbl 0705.14006
Cattani, Eduardo; Kaplan, Aroldo
13
1989
\(L^ 2\) and intersection cohomologies for a polarizable variation of Hodge structure. Zbl 0611.14006
Cattani, Eduardo; Kaplan, Aroldo; Schmid, Wilfried
25
1987
Variations of polarizd Hodge structure: Asymptotics and monodromy. Zbl 0626.14008
Cattani, Eduardo; Kaplan, Aroldo; Schmid, Wilfried
1
1987
Degeneration of Hodge structures. Zbl 0617.14005
Cattani, Eduardo; Kaplan, Aroldo; Schmid, Wilfried
81
1986
Sur la cohomology \(L_ 2\) et la cohomologie d’intersection à coefficients dans une variation de structure de Hodge. (On the \(L_ 2\)- cohomology and the intersection cohomology with coefficients in a variation of Hodge structures). Zbl 0645.14008
Cattani, Eduardo; Kaplan, Aroldo
3
1985
Mixed Hodge structures, compactifications and monodromy weight filtration. Zbl 0579.14010
Cattani, Eduardo H.
1
1984
Polarized mixed Hodge structures and the local monodromy of a variation of Hodge structure. Zbl 0516.14005
Cattani, Eduardo; Kaplan, Aroldo
41
1982
On the local monodromy of a variation of Hodge structure. Zbl 0472.14007
Cattani, Eduardo; Kaplan, Aroldo
1
1981
Mixed Hodge structures and compactifications of Siegel’s space. (Preliminary report). Zbl 0471.14002
Carlson, James A.; Cattani, Eduardo H.; Kaplan, Aroldo G.
1
1980
The monodromy weight filtration for a several variables degeneration of Hodge structures of weight two. Zbl 0408.32005
Cattani, Eduardo H.; Kaplan, Aroldo G.
4
1979
Horizontal \(SL_2\)-orbits in flag domains. Zbl 0363.32022
Cattani, Eduardo H.; Kaplan, Aroldo G.
3
1978
Horizontal \(SL_2\)-orbits in flag domains. Zbl 0371.32022
Cattani, Eduardo H.; Kaplan, Aroldo G.
2
1978
Extension of period mappings for Hodge structures of weight two. Zbl 0363.32018
Cattani, Eduardo H.; Kaplan, Aroldo G.
6
1977
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Cited by 281 Authors

15 Dickenstein, Alicia M.
14 Cattani, Eduardo H.
10 Pearlstein, Gregory J.
10 Usui, Sampei
9 Matusevich, Laura Felicia
8 Kato, Kazuya
7 Grimm, Thomas W.
7 Nakayama, Chikara
7 Zuo, Kang
6 Esterov, Alexander I.
6 Kaplan, Aroldo G.
6 Kerr, Matthew
6 Saito, Morihiko
6 Sturmfels, Bernd
5 Brosnan, Patrick
5 D’Andrea, Carlos
5 Migliorini, Luca
5 Minimair, Manfred
5 Mourrain, Bernard
5 Voisin, Claire
5 Walther, Uli
5 Zucker, Steven Mark
4 Jost, Jürgen
4 Miller, Ezra
4 Pardo, Luis Miguel
4 Robles, Colleen
4 Valenzuela, Irene
3 Bakker, Benjamin
3 de Cataldo, Mark Andrea A.
3 Emiris, Ioannis Z.
3 Fujisawa, Taro
3 Griffiths, Phillip Augustus
3 Kashiwara, Masaki
3 Klingler, Bruno
3 Sadykov, Timur Mradovich
3 Schnell, Christian
3 Soprunov, Ivan
3 Tsimerman, Jacob
3 Van De Heisteeg, Damian
3 Yang, Yi-Hu
2 André, Yves
2 Balnojan, Sven
2 Berkesch Zamaere, Christine
2 Borger, Christopher
2 Borisov, Lev A.
2 Busé, Laurent
2 Carlson, James A.
2 Castro-Jiménez, Francisco Jesús
2 Chardin, Marc
2 Cueto, María Angélica
2 Di Rocco, Sandra
2 Elkadi, Mohamed
2 Fernández-Fernández, María-Cruz
2 Fernandez, Javier Alejandro
2 Forsgård, Jens
2 Fujino, Osamu
2 Green, Mark Lee
2 Gusev, Gleb
2 Harris, Michael Howard
2 Hayama, Tatsuki
2 Hertling, Claus
2 Horja, Richard Paul
2 Ito, Atsushi M.
2 Jeronimo, Gabriela
2 Kawai, Takahiro
2 Khetan, Amit
2 Nill, Benjamin
2 Otwinowska, Ania
2 Palti, Eran
2 Paun, Mihai
2 Popa, Mihnea
2 Reichelt, Thomas
2 Sabbah, Claude
2 Schulze, Mathias
2 Shende, Vivek Vijay
2 Szántó, Ágnes
2 Taji, Behrouz
2 Villaflor Loyola, Roberto
2 Wu, Lei
2 Xia, Wei
2 Xiao, Jian
2 Yger, Alain
1 Aazami, Amir Babak
1 Abramovich, Dan
1 Adiprasito, Karim Alexander
1 Akhtar, Reza
1 Alekseevskiĭ, Dmitriĭ Vladimirovich
1 Araujo, Carolina
1 Asakura, Masanori
1 Balletti, Gabriele
1 Banaszak, Grzegorz
1 Barile, Margherita
1 Bastian, Brice
1 Bayer, Arend
1 Berndtsson, Bo
1 Bertrand, Daniel
1 Biquard, Olivier
1 Bloch, Spencer J.
1 Brasselet, Jean-Paul
1 Bruzzo, Ugo
...and 181 more Authors
all top 5

Cited in 92 Serials

21 Journal of Symbolic Computation
17 Duke Mathematical Journal
13 Journal of High Energy Physics
10 Compositio Mathematica
10 Inventiones Mathematicae
9 Advances in Mathematics
7 Annales de l’Institut Fourier
7 Mathematische Annalen
7 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 Journal of Pure and Applied Algebra
6 Transactions of the American Mathematical Society
6 Journal of the American Mathematical Society
6 Journal of Algebraic Geometry
5 Communications in Mathematical Physics
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Journal of Algebra
5 Proceedings of the Japan Academy. Series A
4 Journal of Complexity
3 Journal für die Reine und Angewandte Mathematik
3 Mathematische Zeitschrift
3 Proceedings of the American Mathematical Society
3 Tôhoku Mathematical Journal. Second Series
3 Bulletin of the American Mathematical Society. New Series
3 Journal of Algebraic Combinatorics
3 Selecta Mathematica. New Series
3 Annals of Mathematics. Second Series
3 Journal of the European Mathematical Society (JEMS)
3 Communications in Contemporary Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Publications Mathématiques
2 Journal of Functional Analysis
2 Journal of Soviet Mathematics
2 Manuscripta Mathematica
2 Michigan Mathematical Journal
2 Nagoya Mathematical Journal
2 Theoretical Computer Science
2 Discrete & Computational Geometry
2 Revista Matemática Iberoamericana
2 Applicable Algebra in Engineering, Communication and Computing
2 Doklady Mathematics
2 Vietnam Journal of Mathematics
2 Milan Journal of Mathematics
2 Journal of the Institute of Mathematics of Jussieu
2 Science China. Mathematics
2 Journal of Singularities
2 Kyoto Journal of Mathematics
1 Communications in Algebra
1 Houston Journal of Mathematics
1 Journal of Mathematical Physics
1 Journal of Geometry and Physics
1 Beiträge zur Algebra und Geometrie
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Geometriae Dedicata
1 Illinois Journal of Mathematics
1 Journal of Combinatorial Theory. Series A
1 Journal of Differential Equations
1 Journal of the London Mathematical Society. Second Series
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 SIAM Journal on Numerical Analysis
1 Advances in Applied Mathematics
1 International Journal of Mathematics
1 International Journal of Algebra and Computation
1 IMRN. International Mathematics Research Notices
1 Geometric and Functional Analysis. GAFA
1 Experimental Mathematics
1 Journal of Mathematical Sciences (New York)
1 Finite Fields and their Applications
1 Documenta Mathematica
1 Mathematical Physics, Analysis and Geometry
1 Geometry & Topology
1 Annals of Combinatorics
1 Regular and Chaotic Dynamics
1 Advances in Geometry
1 Foundations of Computational Mathematics
1 Portugaliae Mathematica. Nova Série
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Journal of Algebra and its Applications
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Oberwolfach Reports
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 The Journal of Prime Research in Mathematics
1 Complex Analysis and Operator Theory
1 Acta Mathematica Sinica. Chinese Series
1 Algebra & Number Theory
1 Japanese Journal of Mathematics. 3rd Series
1 São Paulo Journal of Mathematical Sciences
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Proceedings of the American Mathematical Society. Series B
1 Journal of Siberian Federal University. Mathematics & Physics
1 Bollettino dell’Unione Matematica Italiana
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Cited in 39 Fields

207 Algebraic geometry (14-XX)
96 Several complex variables and analytic spaces (32-XX)
51 Commutative algebra (13-XX)
24 Computer science (68-XX)
23 Special functions (33-XX)
23 Convex and discrete geometry (52-XX)
18 Global analysis, analysis on manifolds (58-XX)
16 Differential geometry (53-XX)
14 Quantum theory (81-XX)
13 Number theory (11-XX)
12 Relativity and gravitational theory (83-XX)
10 Group theory and generalizations (20-XX)
10 Numerical analysis (65-XX)
9 Combinatorics (05-XX)
8 Field theory and polynomials (12-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
6 Nonassociative rings and algebras (17-XX)
5 Associative rings and algebras (16-XX)
5 Ordinary differential equations (34-XX)
5 Partial differential equations (35-XX)
5 Algebraic topology (55-XX)
5 Manifolds and cell complexes (57-XX)
4 Topological groups, Lie groups (22-XX)
4 Geometry (51-XX)
3 Mathematical logic and foundations (03-XX)
3 \(K\)-theory (19-XX)
3 Functions of a complex variable (30-XX)
3 Probability theory and stochastic processes (60-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Category theory; homological algebra (18-XX)
2 Real functions (26-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Operator theory (47-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Optics, electromagnetic theory (78-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year