English

On Subvarieties of Abelian Varieties with degenerate Gauss mapping

Algebraic Geometry 2015-06-09 v3

Abstract

We show that for an irreducible subvariety Y of an abelian variety X the Gauss mapping, from the conormal bundle of YY to the dual of the tangent space of XX 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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Cite

@article{arxiv.1110.0095,
  title  = {On Subvarieties of Abelian Varieties with degenerate Gauss mapping},
  author = {Rainer Weissauer},
  journal= {arXiv preprint arXiv:1110.0095},
  year   = {2015}
}

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