Abelian Varieties into 2g+1-dim.Linear Systems
Jaya N. Iyer
Abstract
We show that polarisations of type (1,...,1,2g+2) on g-dimensional abelian varieties are never very ample, if g≥ 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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