On Subvarieties of Abelian Varieties with degenerate Gauss mapping

2011/10/01 by Rainer Weissauer, Weissauer, Rainer
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #math.AG

paper · pdf · doi:10.48550/arxiv.1110.0095

last section removed

openalex publication_date 2011/10/01 · arxiv created 2015/06/07 · arxiv updated 2015/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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