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Published 2013 | public
Book Section - Chapter

Restriction of Sections for Families of Abelian Varieties

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.

Additional details

Created:
August 19, 2023
Modified:
January 13, 2024