Hyperplane sections of abelian surfaces-Reference-Cited by-同舟云学术

Hyperplane sections of abelian surfaces

Published:2011-04-25 Issue:1 Volume:21 Page:183-200
ISSN:1056-3911
Container-title:Journal of Algebraic Geometry
language:en
Short-container-title:J. Algebraic Geom.

Author:

Colombo Elisabetta,Frediani Paola,Pareschi Giuseppe

Abstract

By a theorem of Wahl, the canonically embedded curves which are hyperplane section of K3 surfaces are distinguished by the non-surjectivity of their Wahl map. In this paper we address the problem of distinguishing hyperplane sections of abelian surfaces. The somewhat surprising result is that the Wahl map of such curves is (tendentially) surjective, but their second Wahl map has corank at least 2 (in fact a more precise result is proved).

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Algebra and Number Theory

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