Details
| Original language | English |
|---|---|
| Pages (from-to) | 447-476 |
| Number of pages | 30 |
| Journal | Journal of the London Mathematical Society |
| Volume | 99 |
| Issue number | 2 |
| Early online date | 19 Sept 2018 |
| Publication status | Published - 1 Apr 2019 |
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.
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In: Journal of the London Mathematical Society, Vol. 99, No. 2, 01.04.2019, p. 447-476.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Cox rings over nonclosed fields
AU - Derenthal, Ulrich
AU - Pieropan, Marta
N1 - Funding information: Received 24 July 2018; revised 2 September 2018; published online 19 September 2018. 2010 Mathematics Subject Classification 14C20 (primary), 11G35, 14L30 (secondary). The authors were supported by grants DE 1646/3-1 and ES 60/10-1 of the Deutsche Forschungsgemeinschaft.
PY - 2019/4/1
Y1 - 2019/4/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85053560423&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1408.5358
DO - 10.48550/arXiv.1408.5358
M3 - Article
AN - SCOPUS:85053560423
VL - 99
SP - 447
EP - 476
JO - Journal of the London Mathematical Society
JF - Journal of the London Mathematical Society
SN - 0024-6107
IS - 2
ER -