A note on Abelian varieties embedded in quadrics
Algebraic Geometry
2007-05-23 v2
Abstract
We show that if A is a d-dimensional abelian variety in a smooth quadric of dimension 2d then d=1 and A is an elliptic curve of bidegree (2,2) on a quadric. This extends a result of Van de Ven which says that A only can be embedded in P^{2d} when d=1 or 2.
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Cite
@article{arxiv.math/0304479,
title = {A note on Abelian varieties embedded in quadrics},
author = {Luis Fuentes Garcia},
journal= {arXiv preprint arXiv:math/0304479},
year = {2007}
}
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5 pages