On Subvarieties of Abelian Varieties with degenerate Gauss mapping

Abstract

We show that for an irreducible subvariety Y of an abelian variety X the Gauss mapping, from the conormal bundle of $Y$ to the dual of the tangent space of $X$ at the origin, is not dominant if and only if Y is degenerate in the sense that there exists a nontrivial abelian subvariety A of X such that A+Y=Y holds

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References in corpus (1)

• Vanishing Theorems for constructible Sheaves on Abelian Varieties

Cited by in corpus (4)

• Vanishing Theorems for constructible Sheaves on Abelian Varieties
• Degenerate Perverse Sheaves on Abelian Varieties
• Characteristic cycles and the microlocal geometry of the Gauss map, II
• On the characterization of abelian varieties in characteristic $p>0$