## Zucker, Steven Mark

Compute Distance To:
 Author ID: zucker.steven-m Published as: Zucker, Steven; Zucker, Steven M.; Zucker, S. more...less Further Spellings: Цукер Стевен External Links: MGP · Wikidata · Math-Net.Ru · IdRef
 Documents Indexed: 55 Publications since 1976, including 1 Book Biographic References: 3 Publications Co-Authors: 21 Co-Authors with 21 Joint Publications 515 Co-Co-Authors
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### Co-Authors

 34 single-authored 4 Hain, Richard M. 4 Harris, Michael Howard 2 Brylinski, Jean-Luc 2 Saito, Masa-Hiko 2 Steenbrink, Joseph H. M. 1 Ayoub, Joseph 1 Bell, Steven R. 1 Chirikjian, Gregory S. 1 Cox, David A. 1 Dupont, Johan L. 1 Elzein, Fouad 1 Huckleberry, Alan Trinler 1 Ji, Lizhen 1 Narasimhan, Raghavan 1 Okonek, Christian 1 Saito, Morihiko 1 Sajjadi, Sajdeh 1 Saper, Leslie 1 Schumacher, Georg 1 Shiffman, Bernard 1 Van de Ven, Antonius
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### Serials

 9 Inventiones Mathematicae 2 American Journal of Mathematics 2 Compositio Mathematica 2 Duke Mathematical Journal 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 L’Enseignement Mathématique. 2e Série 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Vietnam Journal of Mathematics 1 The Asian Journal of Mathematics 1 Annals of Mathematics. Second Series 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Pure and Applied Mathematics Quarterly 1 Acta Crystallographica. Section A
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### Fields

 46 Algebraic geometry (14-XX) 26 Several complex variables and analytic spaces (32-XX) 9 Algebraic topology (55-XX) 6 Differential geometry (53-XX) 5 Number theory (11-XX) 5 Topological groups, Lie groups (22-XX) 4 Group theory and generalizations (20-XX) 4 Manifolds and cell complexes (57-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 History and biography (01-XX) 1 General and overarching topics; collections (00-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

39 Publications have been cited 560 times in 428 Documents Cited by Year
Hodge theory with degenerating coefficients: $$L_2$$ cohomology in the Poincaré metric. Zbl 0446.14002
Zucker, Steven
1979
Variation of mixed Hodge structure. I. Zbl 0626.14007
Steenbrink, Joseph; Zucker, Steven
1985
L//2 cohomology of warped products and arithmetic groups. Zbl 0508.20020
Zucker, Steven
1982
Intersection numbers of sections of elliptic surfaces. Zbl 0444.14004
Cox, David A.; Zucker, Steven
1979
Unipotent variations of mixed Hodge structure. Zbl 0622.14007
Hain, Richard M.; Zucker, Steven
1987
Generalized intermediate Jacobians and the theorem on normal functions. Zbl 0329.14008
Zucker, Steven
1976
The Hodge conjecture for cubic fourfolds. Zbl 0347.14005
Zucker, Steven
1977
Locally homogeneous variations of Hodge structure. Zbl 0584.14003
Zucker, Steven
1981
Satake compactifications. Zbl 0565.22009
Zucker, Steven
1983
Variation of mixed Hodge structure. II. Zbl 0615.14003
Zucker, Steven
1985
Extendability of normal functions associated to algebraic cycles. Zbl 0545.14017
1984
An overview of recent advances in Hodge theory. Zbl 0793.14005
Brylinski, Jean-Luc; Zucker, Steven
1991
Relative Artin motives and the reductive Borel-Serre compactification of a locally symmetric variety. Zbl 1242.14016
Ayoub, Joseph; Zucker, Steven
2012
Regulators and characteristic classes of flat bundles. Zbl 0976.14005
Dupont, Johan; Hain, Richard; Zucker, Steven
2000
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
2001
$$L_ 2$$-cohomology and intersection homology of locally symmetric varieties. II. Zbl 0624.14014
Zucker, Steven
1986
Boundary cohomology of Shimura varieties. II: Hodge theory at the boundary. Zbl 0860.11031
Harris, Michael; Zucker, Steven
1994
Remarks on a theorem of Fujita. Zbl 0503.14002
Zucker, Steven
1982
On the reductive Borel-Serre compactification: $$L^p$$-cohomology of arithmetic groups (for large $$p$$). Zbl 0998.14013
Zucker, Steven
2001
The kernel spectral sequence of vanishing cycles. Zbl 0756.32020
Saito, Morihiko; Zucker, Steven
1990
$$L^ p$$-cohomology and Satake compactifications. Zbl 0753.14017
Zucker, Steven
1991
Boundary cohomology of Shimura varieties. I: Coherent cohomology on toroidal compactifications. Zbl 0860.11030
Harris, Michael; Zucker, Steven
1994
Classification of non-rigid families of K3 surfaces and a finiteness theorem of Arakelov type. Zbl 0697.14024
Saito, Masa-Hiko; Zucker, Steven
1991
The Hodge structures on the intersection homology of varieties with isolated singularities. Zbl 0645.14003
Zucker, Steven
1987
On the reductive Borel-Serre compactification. III: Mixed Hodge structures. Zbl 1082.22008
Zucker, Steven
2004
An introduction to $$L^ 2$$-cohomology. Zbl 0742.32021
Saper, Leslie; Zucker, Steven
1991
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
1997
The Cheeger-Simons invariant as a Chern class. Zbl 0790.14013
Zucker, Steven
1989
$$L^ p$$-cohomology: Banach spaces and homological methods on Riemannian manifolds. Zbl 0805.55006
Zucker, Steven
1993
Polar curves, resolution of singularities and the filtered mixed Hodge structure on the vanishing cohomology. Zbl 0644.14004
Steenbrink, Joseph; Zucker, Steven
1987
On the reductive Borel-Serre compactification. II. Excentric quotients and least common modifications. Zbl 1158.32009
Zucker, Steven
2008
A guide to unipotent variations of mixed Hodge structure. Zbl 0622.14008
Hain, Richard M.; Zucker, Steven
1987
$$L_ 2$$-cohomology and intersection homology of locally symmetric varieties. Zbl 0545.55005
Zucker, Steven
1983
Intermediate Jacobians and normal functions. Zbl 0564.14003
Zucker, Steven
1984
Degeneration of Hodge bundles. (After Steenbrink). Zbl 0574.14008
Zucker, Steven
1984
Truncations of mixed Hodge complexes. Zbl 0633.14005
Hain, Richard M.; Zucker, Steven
1987
Erratum: “Boundary cohomology of Shimura varieties. II: Hodge theory at the boundary”. Zbl 1008.11529
Harris, M.; Zucker, S.
1995
L$${}^ 2$$-cohomology of Shimura varieties. Zbl 0707.14018
Zucker, Steven
1990
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.
1998
Relative Artin motives and the reductive Borel-Serre compactification of a locally symmetric variety. Zbl 1242.14016
Ayoub, Joseph; Zucker, Steven
2012
On the reductive Borel-Serre compactification. II. Excentric quotients and least common modifications. Zbl 1158.32009
Zucker, Steven
2008
On the reductive Borel-Serre compactification. III: Mixed Hodge structures. Zbl 1082.22008
Zucker, Steven
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
2001
On the reductive Borel-Serre compactification: $$L^p$$-cohomology of arithmetic groups (for large $$p$$). Zbl 0998.14013
Zucker, Steven
2001
Regulators and characteristic classes of flat bundles. Zbl 0976.14005
Dupont, Johan; Hain, Richard; Zucker, Steven
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.
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
1997
Erratum: “Boundary cohomology of Shimura varieties. II: Hodge theory at the boundary”. Zbl 1008.11529
Harris, M.; Zucker, S.
1995
Boundary cohomology of Shimura varieties. II: Hodge theory at the boundary. Zbl 0860.11031
Harris, Michael; Zucker, Steven
1994
Boundary cohomology of Shimura varieties. I: Coherent cohomology on toroidal compactifications. Zbl 0860.11030
Harris, Michael; Zucker, Steven
1994
$$L^ p$$-cohomology: Banach spaces and homological methods on Riemannian manifolds. Zbl 0805.55006
Zucker, Steven
1993
An overview of recent advances in Hodge theory. Zbl 0793.14005
Brylinski, Jean-Luc; Zucker, Steven
1991
$$L^ p$$-cohomology and Satake compactifications. Zbl 0753.14017
Zucker, Steven
1991
Classification of non-rigid families of K3 surfaces and a finiteness theorem of Arakelov type. Zbl 0697.14024
Saito, Masa-Hiko; Zucker, Steven
1991
An introduction to $$L^ 2$$-cohomology. Zbl 0742.32021
Saper, Leslie; Zucker, Steven
1991
The kernel spectral sequence of vanishing cycles. Zbl 0756.32020
Saito, Morihiko; Zucker, Steven
1990
L$${}^ 2$$-cohomology of Shimura varieties. Zbl 0707.14018
Zucker, Steven
1990
The Cheeger-Simons invariant as a Chern class. Zbl 0790.14013
Zucker, Steven
1989
Unipotent variations of mixed Hodge structure. Zbl 0622.14007
Hain, Richard M.; Zucker, Steven
1987
The Hodge structures on the intersection homology of varieties with isolated singularities. Zbl 0645.14003
Zucker, Steven
1987
Polar curves, resolution of singularities and the filtered mixed Hodge structure on the vanishing cohomology. Zbl 0644.14004
Steenbrink, Joseph; Zucker, Steven
1987
A guide to unipotent variations of mixed Hodge structure. Zbl 0622.14008
Hain, Richard M.; Zucker, Steven
1987
Truncations of mixed Hodge complexes. Zbl 0633.14005
Hain, Richard M.; Zucker, Steven
1987
$$L_ 2$$-cohomology and intersection homology of locally symmetric varieties. II. Zbl 0624.14014
Zucker, Steven
1986
Variation of mixed Hodge structure. I. Zbl 0626.14007
Steenbrink, Joseph; Zucker, Steven
1985
Variation of mixed Hodge structure. II. Zbl 0615.14003
Zucker, Steven
1985
Extendability of normal functions associated to algebraic cycles. Zbl 0545.14017
1984
Intermediate Jacobians and normal functions. Zbl 0564.14003
Zucker, Steven
1984
Degeneration of Hodge bundles. (After Steenbrink). Zbl 0574.14008
Zucker, Steven
1984
Satake compactifications. Zbl 0565.22009
Zucker, Steven
1983
$$L_ 2$$-cohomology and intersection homology of locally symmetric varieties. Zbl 0545.55005
Zucker, Steven
1983
L//2 cohomology of warped products and arithmetic groups. Zbl 0508.20020
Zucker, Steven
1982
Remarks on a theorem of Fujita. Zbl 0503.14002
Zucker, Steven
1982
Locally homogeneous variations of Hodge structure. Zbl 0584.14003
Zucker, Steven
1981
Hodge theory with degenerating coefficients: $$L_2$$ cohomology in the Poincaré metric. Zbl 0446.14002
Zucker, Steven
1979
Intersection numbers of sections of elliptic surfaces. Zbl 0444.14004
Cox, David A.; Zucker, Steven
1979
The Hodge conjecture for cubic fourfolds. Zbl 0347.14005
Zucker, Steven
1977
Generalized intermediate Jacobians and the theorem on normal functions. Zbl 0329.14008
Zucker, Steven
1976
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### Cited by 413 Authors

 15 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 Arapura, Donu 6 Pearlstein, Gregory J. 6 Schnell, Christian 6 Tankeev, Sergeĭ Gennad’evich 5 Millson, John J. 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 Fujino, Osamu 3 Fujisawa, Taro 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 Maxim, Laurentiu G. 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 Clozel, Laurent 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 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 McConnell, Mark 2 McLaughlin, Dennis A. ...and 313 more Authors
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### Cited in 98 Serials

 37 Duke Mathematical Journal 28 Inventiones Mathematicae 26 Compositio Mathematica 23 Mathematische Annalen 15 Advances in Mathematics 13 Mathematische Zeitschrift 12 Publications of the Research Institute for Mathematical Sciences, Kyoto University 11 Annales de l’Institut Fourier 11 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 11 Manuscripta Mathematica 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 Tôhoku 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 Geometry & Topology 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 Selecta Mathematica. New Series 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 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 Pacific Journal of Mathematics 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 2 Algebra & 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 Annals of Global Analysis and Geometry 1 Sugaku Expositions 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Calculus of Variations and Partial Differential Equations 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 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 1 Tunisian Journal of Mathematics
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### Cited in 32 Fields

 332 Algebraic geometry (14-XX) 130 Several complex variables and analytic spaces (32-XX) 76 Number theory (11-XX) 53 Differential geometry (53-XX) 50 Global analysis, analysis on manifolds (58-XX) 35 Algebraic topology (55-XX) 33 Manifolds and cell complexes (57-XX) 25 Topological groups, Lie groups (22-XX) 18 Group theory and generalizations (20-XX) 14 $$K$$-theory (19-XX) 12 Category theory; homological algebra (18-XX) 8 Nonassociative rings and algebras (17-XX) 8 Quantum theory (81-XX) 7 Partial differential equations (35-XX) 6 Commutative algebra (13-XX) 5 Associative rings and algebras (16-XX) 5 Functions of a complex variable (30-XX) 4 Functional analysis (46-XX) 3 Potential theory (31-XX) 3 Special functions (33-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 General topology (54-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX)

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