Hyperplane sections of abelian surfaces

Details Hyperplane sections of abelian surfaces Hyperplane sections of abelian surfaces

2009-03-16

arxiv.org/abs/0903.2781v2

Mathematics

Algebraic Geometry

final version, to appear in Journal of Algebraic Geometry

Scientific paper

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).

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