Cox rings over nonclosed fields

authored by

Ulrich Derenthal, Marta Pieropan

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.

Organisation(s)

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

External Organisation(s)

Eidgenössische Technische Hochschule Lausanne (ETHL)

Type

Artikel

Journal

Journal of the London Mathematical Society

Volume

99

Pages

447-476

No. of pages

30

ISSN

0024-6107

Publication date

01.04.2019

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Allgemeine Mathematik

Electronic version(s)

https://doi.org/10.48550/arXiv.1408.5358 (Access: Offen)
https://doi.org/10.1112/jlms.12178 (Access: Geschlossen)