Enriques Involutions and Brauer Classes

authored by

A. N. Skorobogatov, D. Valloni

Abstract

We prove that every element of order 2 in the Brauer group of a complex Kummer surface X descends to an Enriques quotient of X. In generic cases, this gives a bijection between the set of Enriques quotients of X up to isomorphism and the set of Brauer classes of X of order 2. For some K3 surfaces of Picard rank we prove that the fibers of above the nonzero points have the same cardinality.

Organisation(s)

Riemann Center for Geometry and Physics

External Organisation(s)

Imperial College London
Russian Academy of Sciences (RAS)

Type

Artikel

Journal

Nagoya mathematical journal

Volume

251

Pages

606-621

No. of pages

16

ISSN

0027-7630

Publication date

09.2023

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Mathematik (insg.)

Electronic version(s)

https://doi.org/10.48550/arXiv.2202.08030 (Access: Offen)
https://doi.org/10.1017/nmj.2022.43 (Access: Geschlossen)