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

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

2000-04-17

arxiv.org/abs/math/0004110v2

Mathematics

Algebraic Geometry

6 Pages

Scientific paper

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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