Comptes Rendus
no. 11-12
Algebraic Geometry/Number Theory
The locus of Hodge classes in an admissible variation of mixed Hodge structure
[Classes de Hodge dans une variation de structure de Hodge mixte admissible]

Présenté par : Pierre Deligne

Patrick Brosnan1 ; Gregory Pearlstein2 ; Christian Schnell3
1 Department of Mathematics, The University of British Columbia, 1984 Mathematics Road, Vancouver, B.C., Canada V6T 1Z2
2 Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA
3 Department of Mathematics, Statistics & Computer Science, University of Illinois at Chicago, 851 South Morgan Street, Chicago, IL 60607, USA
Comptes Rendus. Mathématique, Volume 348 (2010) no. 11-12, pp. 657-660.

On généralise le théorème de E. Cattani, P. Deligne, et A. Kaplan aux variations de structure de Hodge mixtes admissibles.

We generalize the theorem of E. Cattani, P. Deligne, and A. Kaplan to admissible variations of mixed Hodge structure.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.04.002
Patrick Brosnan 1 ; Gregory Pearlstein 2 ; Christian Schnell 3

1 Department of Mathematics, The University of British Columbia, 1984 Mathematics Road, Vancouver, B.C., Canada V6T 1Z2
2 Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA
3 Department of Mathematics, Statistics & Computer Science, University of Illinois at Chicago, 851 South Morgan Street, Chicago, IL 60607, USA 
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     author = {Patrick Brosnan and Gregory Pearlstein and Christian Schnell},
     title = {The locus of {Hodge} classes in an admissible variation of mixed {Hodge} structure},
     journal = {Comptes Rendus. Math\'ematique},
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Patrick Brosnan; Gregory Pearlstein; Christian Schnell. The locus of Hodge classes in an admissible variation of mixed Hodge structure. Comptes Rendus. Mathématique, Volume 348 (2010) no. 11-12, pp. 657-660. doi : 10.1016/j.crma.2010.04.002. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.04.002/

[1] P. Brosnan; G. Pearlstein On the algebraicity of the zero locus of an admissible normal function, 2009 | arXiv

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[9] C. Schnell Complex-analytic Neron models for arbitrary families of intermediate Jacobians, 2009 http://arXiv.org/abs/0910.0662

[10] J. Steenbrink; S. Zucker Variation of mixed Hodge structure. I, Invent. Math., Volume 80 (1985) no. 3, pp. 489-542

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