Prym varieties and cubic threefolds over $\mathbb{Z}$
Algebraic Geometry
2024-09-25 v1
Abstract
We develop a theory of Prym varieties and cubic threefolds over fields of characteristic . As an application, we prove that smooth cubic threefolds are non-rational over an arbitrary field and solve a conjecture of Deligne regarding arithmetic Torelli maps. We also prove the Torelli theorem for cubic threefolds over arbitrary fields.
Cite
@article{arxiv.2409.15580,
title = {Prym varieties and cubic threefolds over $\mathbb{Z}$},
author = {Tudor Ciurca},
journal= {arXiv preprint arXiv:2409.15580},
year = {2024}
}