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de Cataldo, Mark Andrea A.

Author ID: de-cataldo.mark-andrea-a Recent zbMATH articles by "de Cataldo, Mark Andrea A."
Published as: de Cataldo, Mark Andrea A.; de Cataldo, Mark Andrea; De Cataldo, Mark Andrea A.; De Cataldo, Mark Andrea; De Cataldo, M. A.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 55 Publications since 1989, including 1 Book and 6 Additional arXiv Preprints
Co-Authors: 15 Co-Authors with 32 Joint Publications
249 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 498 times in 296 Documents Cited by Year
The decomposition theorem, perverse sheaves and the topology of algebraic maps. Zbl 1181.14001
de Cataldo, Mark Andrea A.; Migliorini, Luca
87
2009
Topology of Hitchin systems and Hodge theory of character varieties: the case \(A_1\). Zbl 1375.14047
De Cataldo, Mark Andrea A.; Hausel, Tamás; Migliorini, Luca
58
2012
The Hodge theory of algebraic maps. Zbl 1094.14005
de Cataldo, Mark Andrea A.; Migliorini, Luca
54
2005
The Chow groups and the motive of the Hilbert scheme of points on a surface. Zbl 1033.14004
de Cataldo, Mark Andrea A.; Migliorini, Luca
38
2002
The hard Lefschetz theorem and the topology of semismall maps. Zbl 1021.14004
de Cataldo, Mark Andrea A.; Migliorini, Luca
37
2002
The perverse filtration and the Lefschetz hyperplane theorem. Zbl 1213.14017
De Cataldo, Mark Andrea A.; Migliorini, Luca
20
2010
Singular hermitian metrics on vector bundles. Zbl 0902.32012
de Cataldo, Mark Andrea A.
19
1998
Combinatorics and topology of proper toric maps. Zbl 1408.14159
de Cataldo, Mark Andrea; Migliorini, Luca; Mustaţă, Mircea
17
2018
The Chow motive of semismall resolutions. Zbl 1073.14010
de Cataldo, Mark Andrea A.; Migliorini, Luca
14
2004
The Douady space of a complex surface. Zbl 0991.32006
de Cataldo, Mark Andrea A.; Migliorini, Luca
13
2000
The Hodge numbers of O’Grady 10 via Ngô strings. Zbl 1483.14071
de Cataldo, Mark Andrea A.; Rapagnetta, Antonio; Saccà, Giulia
13
2021
Hitchin fibrations, abelian surfaces, and the \(P=W\) conjecture. Zbl 1523.14061
De Cataldo, Mark Andrea; Maulik, Davesh; Shen, Junliang
12
2022
The perverse filtration and the Lefschetz hyperplane theorem. II. Zbl 1273.14043
De Cataldo, Mark Andrea A.
10
2012
Hodge-theoretic aspects of the decomposition theorem. Zbl 1207.14016
de Cataldo, Mark Andrea A.; Migliorini, Luca
10
2009
Intersection forms, topology of maps and motivic decomposition for resolutions of threefolds. Zbl 1131.14015
de Cataldo, Mark Andrea A.; Migliorini, Luca
8
2007
Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces. Zbl 1304.14011
de Cataldo, Mark Andrea A.; Hausel, Tamás; Migliorini, Luca
8
2013
A support theorem for the Hitchin fibration: the case of \(\mathrm{SL}_{n}\). Zbl 1453.14029
de Cataldo, Mark Andrea
8
2017
Perverse sheaves and the topology of algebraic varieties. Zbl 1439.14060
de Cataldo, Mark Andrea
6
2017
Decomposition theorem for semi-simples. Zbl 1366.13009
de Cataldo, Mark Andrea
6
2016
Frobenius semisimplicity for convolution morphisms. Zbl 1408.14067
de Cataldo, Mark Andrea; Haines, Thomas J.; Li, Li
6
2018
Effective nonvanishing, effective global generation. Zbl 0934.14002
de Cataldo, Mark Andrea A.
5
1998
A finiteness theorem for low-codimensional nonsingular subvarieties of quadrics. Zbl 0874.14045
de Cataldo, Mark Andrea A.
5
1997
Projective compactification of Dolbeault moduli spaces. Zbl 1474.14073
de Cataldo, Mark Andrea A.
5
2021
The Gysin map is compatible with mixed Hodge structures. Zbl 1084.14010
de Cataldo, Mark Andrea A.; Migliorini, Luca
4
2004
Proper toric maps over finite fields. Zbl 1349.14091
De Cataldo, Mark Andrea A.
4
2015
The perverse filtration for the Hitchin fibration is locally constant. Zbl 1469.14018
de Cataldo, Mark Andrea A.; Maulik, Davesh
4
2020
What is …a perverse sheaf? Zbl 1194.14024
de Cataldo, Mark Andrea; Migliorini, Luca
3
2010
Hilbert schemes of a surface and Euler characteristics. Zbl 1058.14008
de Cataldo, Mark Andrea A.
3
2000
The standard filtration on cohomology with compact supports with an appendix on the base change map and the Lefschetz hyperplane theorem. Zbl 1184.14029
de Cataldo, Mark Andrea A.
3
2009
Hodge-theoretic splitting mechanisms for projective maps. Zbl 1317.14045
de Cataldo, Mark Andrea A.
3
2013
Vanishing via lifting to second Witt vectors and a proof of an isotriviality result. Zbl 0943.14006
de Cataldo, Mark Andrea A.
2
1999
On singularities of primitive cohomology classes. Zbl 1174.14011
de Cataldo, Mark Andrea A.; Migliorini, Luca
2
2009
The projectors of the decomposition theorem are motivated. Zbl 1348.14016
de Cataldo, Mark Andrea; Migliorini, Luca
2
2015
The Hodge theory of maps. Zbl 1321.14012
de Cataldo, Mark Andrea; Migliorini, Luca
2
2014
A support theorem for the Hitchin fibration: the case of \(\operatorname{GL}_n\) and \(K_C\). Zbl 1476.14068
de Cataldo, Mark Andrea A.; Heinloth, Jochen; Migliorini, Luca
2
2021
Perverse Leray filtration and specialisation with applications to the Hitchin morphism. Zbl 1491.14019
De Cataldo, Mark Andrea A.
2
2022
The Hodge theory of projective manifolds. Zbl 1124.14002
de Cataldo, Mark Andrea
1
2007
Projective completion of moduli of \(t\)-connections on curves in positive and mixed characteristic. Zbl 1493.14012
de Cataldo, Mark Andrea A.; Zhang, Siqing
1
2022
A cohomological nonabelian Hodge theorem in positive characteristic. Zbl 1507.14049
de Cataldo, Mark Andrea; Zhang, Siqing
1
2022
Hitchin fibrations, abelian surfaces, and the \(P=W\) conjecture. Zbl 1523.14061
De Cataldo, Mark Andrea; Maulik, Davesh; Shen, Junliang
12
2022
Perverse Leray filtration and specialisation with applications to the Hitchin morphism. Zbl 1491.14019
De Cataldo, Mark Andrea A.
2
2022
Projective completion of moduli of \(t\)-connections on curves in positive and mixed characteristic. Zbl 1493.14012
de Cataldo, Mark Andrea A.; Zhang, Siqing
1
2022
A cohomological nonabelian Hodge theorem in positive characteristic. Zbl 1507.14049
de Cataldo, Mark Andrea; Zhang, Siqing
1
2022
The Hodge numbers of O’Grady 10 via Ngô strings. Zbl 1483.14071
de Cataldo, Mark Andrea A.; Rapagnetta, Antonio; Saccà, Giulia
13
2021
Projective compactification of Dolbeault moduli spaces. Zbl 1474.14073
de Cataldo, Mark Andrea A.
5
2021
A support theorem for the Hitchin fibration: the case of \(\operatorname{GL}_n\) and \(K_C\). Zbl 1476.14068
de Cataldo, Mark Andrea A.; Heinloth, Jochen; Migliorini, Luca
2
2021
The perverse filtration for the Hitchin fibration is locally constant. Zbl 1469.14018
de Cataldo, Mark Andrea A.; Maulik, Davesh
4
2020
Combinatorics and topology of proper toric maps. Zbl 1408.14159
de Cataldo, Mark Andrea; Migliorini, Luca; Mustaţă, Mircea
17
2018
Frobenius semisimplicity for convolution morphisms. Zbl 1408.14067
de Cataldo, Mark Andrea; Haines, Thomas J.; Li, Li
6
2018
A support theorem for the Hitchin fibration: the case of \(\mathrm{SL}_{n}\). Zbl 1453.14029
de Cataldo, Mark Andrea
8
2017
Perverse sheaves and the topology of algebraic varieties. Zbl 1439.14060
de Cataldo, Mark Andrea
6
2017
Decomposition theorem for semi-simples. Zbl 1366.13009
de Cataldo, Mark Andrea
6
2016
Proper toric maps over finite fields. Zbl 1349.14091
De Cataldo, Mark Andrea A.
4
2015
The projectors of the decomposition theorem are motivated. Zbl 1348.14016
de Cataldo, Mark Andrea; Migliorini, Luca
2
2015
The Hodge theory of maps. Zbl 1321.14012
de Cataldo, Mark Andrea; Migliorini, Luca
2
2014
Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces. Zbl 1304.14011
de Cataldo, Mark Andrea A.; Hausel, Tamás; Migliorini, Luca
8
2013
Hodge-theoretic splitting mechanisms for projective maps. Zbl 1317.14045
de Cataldo, Mark Andrea A.
3
2013
Topology of Hitchin systems and Hodge theory of character varieties: the case \(A_1\). Zbl 1375.14047
De Cataldo, Mark Andrea A.; Hausel, Tamás; Migliorini, Luca
58
2012
The perverse filtration and the Lefschetz hyperplane theorem. II. Zbl 1273.14043
De Cataldo, Mark Andrea A.
10
2012
The perverse filtration and the Lefschetz hyperplane theorem. Zbl 1213.14017
De Cataldo, Mark Andrea A.; Migliorini, Luca
20
2010
What is …a perverse sheaf? Zbl 1194.14024
de Cataldo, Mark Andrea; Migliorini, Luca
3
2010
The decomposition theorem, perverse sheaves and the topology of algebraic maps. Zbl 1181.14001
de Cataldo, Mark Andrea A.; Migliorini, Luca
87
2009
Hodge-theoretic aspects of the decomposition theorem. Zbl 1207.14016
de Cataldo, Mark Andrea A.; Migliorini, Luca
10
2009
The standard filtration on cohomology with compact supports with an appendix on the base change map and the Lefschetz hyperplane theorem. Zbl 1184.14029
de Cataldo, Mark Andrea A.
3
2009
On singularities of primitive cohomology classes. Zbl 1174.14011
de Cataldo, Mark Andrea A.; Migliorini, Luca
2
2009
Intersection forms, topology of maps and motivic decomposition for resolutions of threefolds. Zbl 1131.14015
de Cataldo, Mark Andrea A.; Migliorini, Luca
8
2007
The Hodge theory of projective manifolds. Zbl 1124.14002
de Cataldo, Mark Andrea
1
2007
The Hodge theory of algebraic maps. Zbl 1094.14005
de Cataldo, Mark Andrea A.; Migliorini, Luca
54
2005
The Chow motive of semismall resolutions. Zbl 1073.14010
de Cataldo, Mark Andrea A.; Migliorini, Luca
14
2004
The Gysin map is compatible with mixed Hodge structures. Zbl 1084.14010
de Cataldo, Mark Andrea A.; Migliorini, Luca
4
2004
The Chow groups and the motive of the Hilbert scheme of points on a surface. Zbl 1033.14004
de Cataldo, Mark Andrea A.; Migliorini, Luca
38
2002
The hard Lefschetz theorem and the topology of semismall maps. Zbl 1021.14004
de Cataldo, Mark Andrea A.; Migliorini, Luca
37
2002
The Douady space of a complex surface. Zbl 0991.32006
de Cataldo, Mark Andrea A.; Migliorini, Luca
13
2000
Hilbert schemes of a surface and Euler characteristics. Zbl 1058.14008
de Cataldo, Mark Andrea A.
3
2000
Vanishing via lifting to second Witt vectors and a proof of an isotriviality result. Zbl 0943.14006
de Cataldo, Mark Andrea A.
2
1999
Singular hermitian metrics on vector bundles. Zbl 0902.32012
de Cataldo, Mark Andrea A.
19
1998
Effective nonvanishing, effective global generation. Zbl 0934.14002
de Cataldo, Mark Andrea A.
5
1998
A finiteness theorem for low-codimensional nonsingular subvarieties of quadrics. Zbl 0874.14045
de Cataldo, Mark Andrea A.
5
1997
all top 5

Cited by 334 Authors

19 de Cataldo, Mark Andrea A.
16 Laterveer, Robert
13 Williamson, Geordie
12 Migliorini, Luca
9 Shen, Junliang
8 Di Gennaro, Vincenzo
8 Franco, Davide
7 Maulik, Davesh
6 Fu, Lie
6 Maxim, Laurentiu G.
6 Vial, Charles
5 Liu, Yongqiang
5 Mauri, Mirko
5 Wang, Botong
4 Elias, Benjamin
4 Hausel, Tamás
4 Yin, Qizheng
3 Agustin Vicente, Marta
3 Arapura, Donu
3 Budur, Nero
3 Ciliberto, Ciro
3 Davison, Ben
3 Diaconescu, Duiliu-Emanuel
3 Donagi, Ron Y.
3 Dutta, Yajnaseni
3 Felisetti, Camilla
3 Haines, Thomas J.
3 Harder, Andrew
3 Huh, June
3 Katzarkov, Ludmil
3 Li, Li
3 Nonkané, Ibrahim
3 Oberdieck, Georg
3 Pantev, Tony G.
3 Paun, Mihai
3 Pearlstein, Gregory J.
3 Proudfoot, Nicholas J.
3 Reede, Fabian
3 Richarz, Timo
3 Saccà, Giulia
3 Sessa, Carmine
3 Stapledon, Alan
3 Webster, Ben
3 Zhang, Siqing
2 Baraglia, David
2 Berndtsson, Bo
2 Braden, Tom
2 Brasselet, Jean-Paul
2 Brosnan, Patrick
2 Chuang, Wu-yen
2 Ciappara, Joshua
2 Cioffi, Francesca
2 Flapan, Laure
2 Floccari, Salvatore
2 Franco, Emilio
2 Green, Mark Lee
2 Heinloth, Jochen
2 Hellmann, Isabell
2 Huybrechts, Daniel
2 Inayama, Takahiro
2 Juteau, Daniel
2 Katz, Eric
2 Kivinen, Oscar
2 Komyo, Arata
2 Langlois, Kevin
2 Laza, Radu
2 Li, Zhiyuan
2 Logares, Marina
2 Meinhardt, Sven
2 Muñoz Velázquez, Vicente
2 Murayama, Takumi
2 Mustaţă, Mircea
2 Nadler, David
2 Negut, Andrei
2 Patimo, Leonardo
2 Payne, Sam
2 Popa, Mihnea
2 Przhiyalkovskiĭ, Viktor Vladimirovich
2 Raicu, Claudiu
2 Riche, Simon
2 Schürmann, Jörg
2 Shen, Mingmin
2 Shende, Vivek Vijay
2 Simpson, Carlos Tschudi
2 Szabo, Szilard
2 Tian, Zhiyu
2 Toda, Yukinobu
2 Wildeshaus, Jörg
2 Wong, Michael Lennox
1 Adiprasito, Karim Alexander
1 Ardila, Federico
1 Arnal, Charles
1 Arrondo, Enrique
1 Asok, Aravind
1 Bai, Chenyu
1 Baird, Thomas John
1 Ballandras, Mathieu
1 Barros, Ignacio
1 Bazhov, Ivan
1 Bejleri, Dori
...and 234 more Authors
all top 5

Cited in 102 Serials

18 Advances in Mathematics
13 Selecta Mathematica. New Series
10 Duke Mathematical Journal
10 Mathematische Zeitschrift
10 Transactions of the American Mathematical Society
8 Journal of Algebra
7 Compositio Mathematica
7 Manuscripta Mathematica
6 Journal für die Reine und Angewandte Mathematik
6 Mathematische Annalen
6 International Journal of Mathematics
6 Geometry & Topology
6 Journal of the Institute of Mathematics of Jussieu
6 Forum of Mathematics, Sigma
5 Journal of Pure and Applied Algebra
5 Journal of the American Mathematical Society
5 European Journal of Mathematics
4 Communications in Mathematical Physics
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 Inventiones Mathematicae
4 Proceedings of the American Mathematical Society
4 Bulletin of the American Mathematical Society. New Series
4 Journal of Algebraic Geometry
4 Annals of Mathematics. Second Series
3 Communications in Algebra
3 Annales de l’Institut Fourier
3 Glasgow Mathematical Journal
3 Mathematische Nachrichten
3 Documenta Mathematica
3 Transformation Groups
3 Journal of the European Mathematical Society (JEMS)
3 Advances in Geometry
3 Milan Journal of Mathematics
3 Oberwolfach Reports
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Bulletin of the London Mathematical Society
2 Journal of Differential Geometry
2 Michigan Mathematical Journal
2 Nagoya Mathematical Journal
2 Results in Mathematics
2 Forum Mathematicum
2 The Journal of Geometric Analysis
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Revista Matemática Complutense
2 Acta Mathematica Sinica. English Series
2 Journal of High Energy Physics
2 Journal of the Australian Mathematical Society
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
2 Journal of Singularities
2 Annales Mathématiques du Québec
2 Research in the Mathematical Sciences
2 Journal de l’École Polytechnique – Mathématiques
2 Bollettino dell’Unione Matematica Italiana
2 Algebraic Combinatorics
1 Communications on Pure and Applied Mathematics
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Theoretical and Mathematical Physics
1 Arkiv för Matematik
1 Beiträge zur Algebra und Geometrie
1 Acta Mathematica
1 American Journal of Mathematics
1 Archiv der Mathematik
1 Geometriae Dedicata
1 Illinois Journal of Mathematics
1 Publications Mathématiques
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Journal of Symbolic Computation
1 Numerical Algorithms
1 Applicable Algebra in Engineering, Communication and Computing
1 Journal of Knot Theory and its Ramifications
1 Journal of Mathematical Sciences (New York)
1 Bulletin des Sciences Mathématiques
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 The Ramanujan Journal
1 Vietnam Journal of Mathematics
1 Annals of Combinatorics
1 Communications in Contemporary Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Proyecciones
1 Algebra & Number Theory
1 Journal of Topology
1 Science China. Mathematics
1 Afrika Matematika
1 Forum of Mathematics, Pi
1 EMS Surveys in Mathematical Sciences
1 Complex Manifolds
1 Annals of \(K\)-Theory
1 Tunisian Journal of Mathematics
...and 2 more Serials

Citations by Year

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