Jacobians among abelian threefolds: a geometric approach
Algebraic Geometry
2010-05-21 v1
Abstract
Let A be a principally polarized abelian threefold over a perfect field k, not isomorphic to a product over the algebraic closure of k. There exists a canonical extension k' of k, of degree 1 or 2, such that A becomes isomorphic to a Jacobian over k'. The aim of this note is to give a geometric construction of this extension.
Keywords
Cite
@article{arxiv.1005.3683,
title = {Jacobians among abelian threefolds: a geometric approach},
author = {Arnaud Beauville and Christophe Ritzenthaler},
journal= {arXiv preprint arXiv:1005.3683},
year = {2010}
}