INDIGO Home University of Illinois at Urbana-Champaign logo uic building uic pavilion uic student center

Complex analytic Néron models for arbitrary families of intermediate Jacobians

Show full item record

Bookmark or cite this item: http://hdl.handle.net/10027/8480

Files in this item

File Description Format
PDF neron-final.pdf (637KB) (no description provided) PDF
Title: Complex analytic Néron models for arbitrary families of intermediate Jacobians
Author(s): Schnell, Christian
Subject(s): proof Jacobians
Abstract: Given a family of intermediate Jacobians (for a polarizable variation of integral Hodge structure of odd weight) on a Zariski-open subset of a complex manifold, we construct an analytic space that naturally extends the family. Its two main properties are: (a) the horizontal and holomorphic sections are precisely the admissible normal functions without singularities; (b) the graph of any admissible normal function has an analytic closure inside our space. As a consequence, we obtain a new proof for the zero locus conjecture of M. Green and P. Griffiths. The construction uses filtered D-modules and M. Saito’s theory of mixed Hodge modules; it is functorial, and does not require normal crossing or unipotent monodromy assumptions
Issue Date: 2011-07-01
Publisher: Springer Verlag
Citation Info: Schnell, C. Complex analytic Néron models for arbitrary families of intermediate Jacobians. Inventiones Mathematicae. 2011. 188(1):1-81. DOI: 10.1007/s00222-011-0341-8.
Type: Article
Description: Post print version of article may differ from published version. The original publication is available at springerlink.com; DOI: 10.1007/s00222-011-0341-8.
URI: http://hdl.handle.net/10027/8480
ISSN: 0020-9910
Date Available in INDIGO: 2012-08-15
 

This item appears in the following Collection(s)

Show full item record

Statistics

Country Code Views
United States of America 79
China 44
United Kingdom 6
Netherlands 2
Germany 1

Browse

My Account

Information

Access Key