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Published 2013 | Version Campus-Access Only
Book Section - Chapter Metadata-only

Restriction of Sections for Families of Abelian Varieties

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Abstract

Given a family of Abelian varieties over a positive-dimensional base, we prove that for a sufficiently general curve in the base, every rational section of the family over the curve is contained in a unique rational section over the entire base.

Additional Information

© 2013 by the Clay Mathematics Institute. All rights reserved. Published by the American Mathematical Society, Providence, RI, for the Clay Mathematics Institute. The first author was supported in part by NSF grants DMS-0601074. The second author was supported in part by NSF Grants DMS-0553921, DMS-0758521, and DMS-0846972.

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Eprint ID
43565
Resolver ID
CaltechAUTHORS:20140130-082331813

Funding

NSF
DMS-0601074
NSF
DMS-0553921
NSF
DMS-0758521
NSF
DMS-0846972

Dates

Created
2014-03-24
Created from EPrint's datestamp field
Updated
2019-10-03
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