Cox rings over nonclosed fields
Algebraic Geometry
2018-09-26 v3 Number Theory
Abstract
We give a definition of Cox rings and Cox sheaves for varieties over nonclosed fields that is compatible with torsors under quasitori, including universal torsors. We study their existence and classification, we make the relation to torsors precise, and we present arithmetic applications.
Cite
@article{arxiv.1408.5358,
title = {Cox rings over nonclosed fields},
author = {Ulrich Derenthal and Marta Pieropan},
journal= {arXiv preprint arXiv:1408.5358},
year = {2018}
}
Comments
30 pages; reorganized, Section 5 shortened