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).
Colombo, E., Frediani, P., Pareschi, G. (2012). Hyperplane sections of abelian surfaces. JOURNAL OF ALGEBRAIC GEOMETRY, 21(1), 183-200 [10.1090/S1056-3911-2011-00556-0].
Hyperplane sections of abelian surfaces
PARESCHI, GIUSEPPE
2012-01-01
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).File in questo prodotto:
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