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Zucker, Steven Mark

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Author ID: zucker.steven-m Recent zbMATH articles by "Zucker, Steven Mark"
Published as: Zucker, Steven; Zucker, Steven M.; Zucker, S.
Further Spellings: Цукер Стевен
External Links: MGP · Wikidata · Math-Net.Ru
Documents Indexed: 55 Publications since 1976, including 1 Book
Biographic References: 3 Publications
Co-Authors: 21 Co-Authors with 21 Joint Publications
504 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 542 times in 418 Documents Cited by Year
Hodge theory with degenerating coefficients: \(L_2\) cohomology in the Poincaré metric. Zbl 0446.14002
Zucker, Steven
116
1979
Variation of mixed Hodge structure. I. Zbl 0626.14007
Steenbrink, Joseph; Zucker, Steven
71
1985
L//2 cohomology of warped products and arithmetic groups. Zbl 0508.20020
Zucker, Steven
63
1982
Intersection numbers of sections of elliptic surfaces. Zbl 0444.14004
Cox, David A.; Zucker, Steven
37
1979
Generalized intermediate Jacobians and the theorem on normal functions. Zbl 0329.14008
Zucker, Steven
30
1976
Unipotent variations of mixed Hodge structure. Zbl 0622.14007
Hain, Richard M.; Zucker, Steven
30
1987
The Hodge conjecture for cubic fourfolds. Zbl 0347.14005
Zucker, Steven
24
1977
Locally homogeneous variations of Hodge structure. Zbl 0584.14003
Zucker, Steven
18
1981
Variation of mixed Hodge structure. II. Zbl 0615.14003
Zucker, Steven
13
1985
Satake compactifications. Zbl 0565.22009
Zucker, Steven
13
1983
Extendability of normal functions associated to algebraic cycles. Zbl 0545.14017
El Zein, Fouad; Zucker, Steven
12
1984
Relative Artin motives and the reductive Borel-Serre compactification of a locally symmetric variety. Zbl 1242.14016
Ayoub, Joseph; Zucker, Steven
11
2012
An overview of recent advances in Hodge theory. Zbl 0793.14005
Brylinski, Jean-Luc; Zucker, Steven
11
1991
\(L_ 2\)-cohomology and intersection homology of locally symmetric varieties. II. Zbl 0624.14014
Zucker, Steven
10
1986
Regulators and characteristic classes of flat bundles. Zbl 0976.14005
Dupont, Johan; Hain, Richard; Zucker, Steven
10
2000
Boundary cohomology of Shimura varieties. II: Hodge theory at the boundary. Zbl 0860.11031
Harris, Michael; Zucker, Steven
9
1994
Boundary cohomology of Shimura varieties. III: Coherent cohomology on higher-rank boundary strata and applications to Hodge theory. Zbl 1020.11042
Harris, Michael; Zucker, Steven
9
2001
Remarks on a theorem of Fujita. Zbl 0503.14002
Zucker, Steven
6
1982
On the reductive Borel-Serre compactification: \(L^p\)-cohomology of arithmetic groups (for large \(p\)). Zbl 0998.14013
Zucker, Steven
6
2001
The kernel spectral sequence of vanishing cycles. Zbl 0756.32020
Saito, Morihiko; Zucker, Steven
4
1990
Boundary cohomology of Shimura varieties. I: Coherent cohomology on toroidal compactifications. Zbl 0860.11030
Harris, Michael; Zucker, Steven
4
1994
\(L^ p\)-cohomology and Satake compactifications. Zbl 0753.14017
Zucker, Steven
4
1991
Classification of non-rigid families of K3 surfaces and a finiteness theorem of Arakelov type. Zbl 0697.14024
Saito, Masa-Hiko; Zucker, Steven
4
1991
The Hodge structures on the intersection homology of varieties with isolated singularities. Zbl 0645.14003
Zucker, Steven
3
1987
On the reductive Borel-Serre compactification. III: Mixed Hodge structures. Zbl 1082.22008
Zucker, Steven
3
2004
A guide to unipotent variations of mixed Hodge structure. Zbl 0622.14008
Hain, Richard M.; Zucker, Steven
2
1987
Polar curves, resolution of singularities and the filtered mixed Hodge structure on the vanishing cohomology. Zbl 0644.14004
Steenbrink, Joseph; Zucker, Steven
2
1987
\(L^ p\)-cohomology: Banach spaces and homological methods on Riemannian manifolds. Zbl 0805.55006
Zucker, Steven
2
1993
On the boundary cohomology of locally symmetric varieties. – Appendix A: No ghosts for \(Sp_4\). – Appendix B: The Cayley transform (semi-simple or non-arithmetic version). – Appendix C: Equal-rank groups. Zbl 0952.14035
Zucker, Steven
2
1997
An introduction to \(L^ 2\)-cohomology. Zbl 0742.32021
Saper, Leslie; Zucker, Steven
2
1991
The Cheeger-Simons invariant as a Chern class. Zbl 0790.14013
Zucker, Steven
2
1989
On the reductive Borel-Serre compactification. II. Excentric quotients and least common modifications. Zbl 1158.32009
Zucker, Steven
2
2008
\(L_ 2\)-cohomology and intersection homology of locally symmetric varieties. Zbl 0545.55005
Zucker, Steven
1
1983
Intermediate Jacobians and normal functions. Zbl 0564.14003
Zucker, Steven
1
1984
Degeneration of Hodge bundles. (After Steenbrink). Zbl 0574.14008
Zucker, Steven
1
1984
Truncations of mixed Hodge complexes. Zbl 0633.14005
Hain, Richard M.; Zucker, Steven
1
1987
Complex manifolds. 2nd corrected printing of the 1990 translation. Zbl 0901.32001
Bell, S. R.; Brylinski, J.-L.; Huckleberry, A. T.; Narasimhan, R.; Okonek, C.; Schumacher, G.; Van de Ven, A.; Zucker, S.
1
1998
Erratum: “Boundary cohomology of Shimura varieties. II: Hodge theory at the boundary”. Zbl 1008.11529
Harris, M.; Zucker, S.
1
1995
L\({}^ 2\)-cohomology of Shimura varieties. Zbl 0707.14018
Zucker, Steven
1
1990
Relative Artin motives and the reductive Borel-Serre compactification of a locally symmetric variety. Zbl 1242.14016
Ayoub, Joseph; Zucker, Steven
11
2012
On the reductive Borel-Serre compactification. II. Excentric quotients and least common modifications. Zbl 1158.32009
Zucker, Steven
2
2008
On the reductive Borel-Serre compactification. III: Mixed Hodge structures. Zbl 1082.22008
Zucker, Steven
3
2004
Boundary cohomology of Shimura varieties. III: Coherent cohomology on higher-rank boundary strata and applications to Hodge theory. Zbl 1020.11042
Harris, Michael; Zucker, Steven
9
2001
On the reductive Borel-Serre compactification: \(L^p\)-cohomology of arithmetic groups (for large \(p\)). Zbl 0998.14013
Zucker, Steven
6
2001
Regulators and characteristic classes of flat bundles. Zbl 0976.14005
Dupont, Johan; Hain, Richard; Zucker, Steven
10
2000
Complex manifolds. 2nd corrected printing of the 1990 translation. Zbl 0901.32001
Bell, S. R.; Brylinski, J.-L.; Huckleberry, A. T.; Narasimhan, R.; Okonek, C.; Schumacher, G.; Van de Ven, A.; Zucker, S.
1
1998
On the boundary cohomology of locally symmetric varieties. – Appendix A: No ghosts for \(Sp_4\). – Appendix B: The Cayley transform (semi-simple or non-arithmetic version). – Appendix C: Equal-rank groups. Zbl 0952.14035
Zucker, Steven
2
1997
Erratum: “Boundary cohomology of Shimura varieties. II: Hodge theory at the boundary”. Zbl 1008.11529
Harris, M.; Zucker, S.
1
1995
Boundary cohomology of Shimura varieties. II: Hodge theory at the boundary. Zbl 0860.11031
Harris, Michael; Zucker, Steven
9
1994
Boundary cohomology of Shimura varieties. I: Coherent cohomology on toroidal compactifications. Zbl 0860.11030
Harris, Michael; Zucker, Steven
4
1994
\(L^ p\)-cohomology: Banach spaces and homological methods on Riemannian manifolds. Zbl 0805.55006
Zucker, Steven
2
1993
An overview of recent advances in Hodge theory. Zbl 0793.14005
Brylinski, Jean-Luc; Zucker, Steven
11
1991
\(L^ p\)-cohomology and Satake compactifications. Zbl 0753.14017
Zucker, Steven
4
1991
Classification of non-rigid families of K3 surfaces and a finiteness theorem of Arakelov type. Zbl 0697.14024
Saito, Masa-Hiko; Zucker, Steven
4
1991
An introduction to \(L^ 2\)-cohomology. Zbl 0742.32021
Saper, Leslie; Zucker, Steven
2
1991
The kernel spectral sequence of vanishing cycles. Zbl 0756.32020
Saito, Morihiko; Zucker, Steven
4
1990
L\({}^ 2\)-cohomology of Shimura varieties. Zbl 0707.14018
Zucker, Steven
1
1990
The Cheeger-Simons invariant as a Chern class. Zbl 0790.14013
Zucker, Steven
2
1989
Unipotent variations of mixed Hodge structure. Zbl 0622.14007
Hain, Richard M.; Zucker, Steven
30
1987
The Hodge structures on the intersection homology of varieties with isolated singularities. Zbl 0645.14003
Zucker, Steven
3
1987
A guide to unipotent variations of mixed Hodge structure. Zbl 0622.14008
Hain, Richard M.; Zucker, Steven
2
1987
Polar curves, resolution of singularities and the filtered mixed Hodge structure on the vanishing cohomology. Zbl 0644.14004
Steenbrink, Joseph; Zucker, Steven
2
1987
Truncations of mixed Hodge complexes. Zbl 0633.14005
Hain, Richard M.; Zucker, Steven
1
1987
\(L_ 2\)-cohomology and intersection homology of locally symmetric varieties. II. Zbl 0624.14014
Zucker, Steven
10
1986
Variation of mixed Hodge structure. I. Zbl 0626.14007
Steenbrink, Joseph; Zucker, Steven
71
1985
Variation of mixed Hodge structure. II. Zbl 0615.14003
Zucker, Steven
13
1985
Extendability of normal functions associated to algebraic cycles. Zbl 0545.14017
El Zein, Fouad; Zucker, Steven
12
1984
Intermediate Jacobians and normal functions. Zbl 0564.14003
Zucker, Steven
1
1984
Degeneration of Hodge bundles. (After Steenbrink). Zbl 0574.14008
Zucker, Steven
1
1984
Satake compactifications. Zbl 0565.22009
Zucker, Steven
13
1983
\(L_ 2\)-cohomology and intersection homology of locally symmetric varieties. Zbl 0545.55005
Zucker, Steven
1
1983
L//2 cohomology of warped products and arithmetic groups. Zbl 0508.20020
Zucker, Steven
63
1982
Remarks on a theorem of Fujita. Zbl 0503.14002
Zucker, Steven
6
1982
Locally homogeneous variations of Hodge structure. Zbl 0584.14003
Zucker, Steven
18
1981
Hodge theory with degenerating coefficients: \(L_2\) cohomology in the Poincaré metric. Zbl 0446.14002
Zucker, Steven
116
1979
Intersection numbers of sections of elliptic surfaces. Zbl 0444.14004
Cox, David A.; Zucker, Steven
37
1979
The Hodge conjecture for cubic fourfolds. Zbl 0347.14005
Zucker, Steven
24
1977
Generalized intermediate Jacobians and the theorem on normal functions. Zbl 0329.14008
Zucker, Steven
30
1976
all top 5

Cited by 403 Authors

14 Hain, Richard M.
14 Saito, Morihiko
11 Zucker, Steven Mark
10 Kato, Kazuya
9 Usui, Sampei
9 Voisin, Claire
8 Nakayama, Chikara
7 Sabbah, Claude
6 Pearlstein, Gregory J.
6 Tankeev, Sergeĭ Gennad’evich
5 Arapura, Donu
5 Millson, John J.
5 Schnell, Christian
5 Zuo, Kang
4 Brosnan, Patrick
4 Brylinski, Jean-Luc
4 Griffiths, Phillip Augustus
4 Harris, Michael Howard
4 Libgober, Anatoly S.
4 Shvedov, Igor A.
4 Thompson, Alan Matthew
4 Vaish, Vaibhav
3 Bergeron, Nicolas
3 Bremner, Andrew
3 Carron, Gilles
3 de Cataldo, Mark Andrea A.
3 Dimca, Alexandru
3 Doran, Charles F.
3 Esnault, Hélène
3 Fastenberg, Lisa A.
3 Harder, Andrew
3 Huang, Chunle
3 Hunsicker, Eugenie
3 Ivorra, Florian
3 Jost, Jürgen
3 Kashiwara, Masaki
3 Kerr, Matthew
3 Kuz’minov, Vladimir I.
3 Lan, Kai-Wen
3 Lewis, James D.
3 Li, Zhiyuan
3 MacPherson, Robert Duncan
3 Mazzeo, Rafe R.
3 Migliorini, Luca
3 Peters, Christiaan Anthonius Maria
3 Rochon, Frédéric
3 Saito, Masa-Hiko
3 Schoen, Chad
3 Simpson, Carlos Tschudi
3 Ulmer, Douglas L.
3 Wildeshaus, Jörg
3 Yang, Yi-Hu
2 Addington, Nicolas M.
2 Albin, Pierre
2 André, Yves
2 Auel, Asher Natan
2 Brüning, Jochen
2 Burgos, José Ignacio
2 Calegari, Frank
2 Catanese, Fabrizio M. E.
2 Chakrabarti, Debraj
2 Chiarellotto, Bruno
2 Claudon, Benoît
2 Cox, David A.
2 Dan, Ananyo
2 Davison, Ben
2 Deligne, Pierre René
2 Di Cerbo, Luca Fabrizio
2 Dupont, Johan L.
2 Eskandari, Payman
2 Fujino, Osamu
2 Fujisawa, Taro
2 Gillet, Henri A.
2 Goldman, William M.
2 Gol’dshtein, Vladimir Mikhailovich
2 Goncharov, Alexander Borisovich
2 Goresky, Robert Mark
2 Green, Mark Lee
2 Gurjar, Rajendra Vasant
2 Hanamura, Masaki
2 Haskell, Peter
2 Hayama, Tatsuki
2 Ji, Lizhen
2 Kamber, Franz W.
2 Kapovich, Michael
2 Kasuya, Hisashi
2 Kaur, Inder
2 Kawai, Takahiro
2 Keum, Jonghae
2 Kim, Inkang
2 Kim, Minhyong
2 Lin, Hsueh-Yung
2 Looijenga, Eduard J. N.
2 Luo, Tie
2 Matsumoto, Makoto
2 Maubon, Julien
2 Maxim, Laurentiu G.
2 McConnell, Mark
2 McLaughlin, Dennis A.
2 Moscovici, Henri
...and 303 more Authors
all top 5

Cited in 96 Serials

37 Duke Mathematical Journal
28 Inventiones Mathematicae
26 Compositio Mathematica
23 Mathematische Annalen
14 Advances in Mathematics
11 Annales de l’Institut Fourier
11 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
11 Manuscripta Mathematica
11 Mathematische Zeitschrift
11 Publications of the Research Institute for Mathematical Sciences, Kyoto University
10 Journal für die Reine und Angewandte Mathematik
8 Transactions of the American Mathematical Society
8 Bulletin of the American Mathematical Society. New Series
7 Proceedings of the American Mathematical Society
7 Proceedings of the Japan Academy. Series A
7 Journal of Algebraic Geometry
6 Nagoya Mathematical Journal
6 Tohoku Mathematical Journal. Second Series
6 Journal of the American Mathematical Society
6 The Journal of Geometric Analysis
5 Journal of Algebra
5 Rendiconti del Seminario Matematico della Università di Padova
5 Izvestiya: Mathematics
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Research in the Mathematical Sciences
4 Publications Mathématiques
4 Journal of Number Theory
4 Siberian Mathematical Journal
4 Geometry & Topology
4 Annals of Mathematics. Second Series
4 Journal of High Energy Physics
4 Forum of Mathematics, Sigma
3 Communications in Mathematical Physics
3 Mathematics of Computation
3 Journal of Geometry and Physics
3 Geometriae Dedicata
3 Journal of Functional Analysis
3 \(K\)-Theory
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Selecta Mathematica. New Series
3 Documenta Mathematica
3 Journal of the Institute of Mathematics of Jussieu
3 Japanese Journal of Mathematics. 3rd Series
2 Communications in Algebra
2 Mathematical Notes
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Rocky Mountain Journal of Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Canadian Journal of Mathematics
2 Memoirs of the American Mathematical Society
2 Topology and its Applications
2 International Journal of Mathematics
2 Differential Geometry and its Applications
2 Geometric and Functional Analysis. GAFA
2 Indagationes Mathematicae. New Series
2 Sibirskie Èlektronnye Matematicheskie Izvestiya
2 International Journal of Number Theory
1 International Journal of Modern Physics A
1 Israel Journal of Mathematics
1 Letters in Mathematical Physics
1 Arkiv för Matematik
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Bulletin de la Société Mathématique de France
1 Illinois Journal of Mathematics
1 Journal of Pure and Applied Algebra
1 Journal of Soviet Mathematics
1 Mathematische Nachrichten
1 Michigan Mathematical Journal
1 Monatshefte für Mathematik
1 Pacific Journal of Mathematics
1 Annals of Global Analysis and Geometry
1 Sugaku Expositions
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Journal de Théorie des Nombres de Bordeaux
1 Journal of Lie Theory
1 Taiwanese Journal of Mathematics
1 Revista Matemática Complutense
1 Communications in Contemporary Mathematics
1 Algebraic & Geometric Topology
1 Milan Journal of Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Complex Variables and Elliptic Equations
1 Frontiers of Mathematics in China
1 Algebra & Number Theory
1 Journal of Topology
1 Journal of Topology and Analysis
1 Science China. Mathematics
1 Journal of Singularities
1 Kyoto Journal of Mathematics
1 Annales Mathématiques du Québec
1 EMS Surveys in Mathematical Sciences
1 European Journal of Mathematics
1 Journal de l’École Polytechnique – Mathématiques
1 Research in Number Theory
1 Korean Journal of Mathematics

Citations by Year

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