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

Jaya N. Iyer
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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.

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Jaya N. Iyer. 2000-05-29. Abelian Varieties into 2g+1-dim.Linear Systems. https://arxiv.org/abs/math/0004110

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