Brauer groups of schemes associated to symmetric powers of smooth projective curves in arbitrary characteristics

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:224

Article

Iyer, Jaya N. N.¹  Joshua, Roy² 

[1] Inst Math Sci, CIT Campus, Chennai 600113, Tamil Nadu, India

[2] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

关键词: Brauer group;    Prym variety;    Symmetric product of curves;   

DOI  :  10.1016/j.jpaa.2019.06.019

来源: Elsevier

【 摘 要 】

In this paper we show that the l(n)-torsion part of the cohomological Brauer groups of certain schemes associated to symmetric powers of a projective smooth curve over a separably closed field k are isomorphic, when E is invertible in k. The schemes considered are the Symmetric powers themselves, then the corresponding Picard schemes and also certain Quot-schemes. We also obtain similar results for Prym varieties associated to certain finite covers of such curves. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free