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arXiv · 1005.3683

Jacobians among abelian threefolds: a geometric approach

Arnaud Beauville·Christophe Ritzenthaler
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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.

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Arnaud Beauville, Christophe Ritzenthaler. 2010-05-20. Jacobians among abelian threefolds: a geometric approach. https://arxiv.org/abs/1005.3683

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