Abelian Varieties into 2g+1-dim.Linear Systems

Jaya N. Iyer

Abelian Varieties into 2g+1-dim.Linear Systems

Algebraic Geometry 2007-05-23 v2

Authors: Jaya N. Iyer

Abstract

We show that polarisations of type (1,...,1,2g+2) on g-dimensional abelian varieties are $\it{never}$ very ample, if $g\geq 3$ . This disproves a conjecture of Debarre, Hulek and Spandaw. We also give a criterion for non-embeddings of abelian varieties into 2g+1-dimensional linear systems.

Keywords

abelian varieties abelian groups projective varieties

Cite

@article{arxiv.math/0004110,
  title  = {Abelian Varieties into 2g+1-dim.Linear Systems},
  author = {Jaya N. Iyer},
  journal= {arXiv preprint arXiv:math/0004110},
  year   = {2007}
}

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6 Pages

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