The period-index problem of the canonical gerbe of symplectic and orthogonal bundles

JOURNAL OF ALGEBRA

卷:446

Article

Biswas, Indranil¹  Coskun, Emre¹  Dhillon, Ajneet² 

[1] Tata Inst Fundamental Res, Bombay 400005, Maharashtra, India

[2] Univ Western Ontario, Middlesex Coll, Dept Math, London, ON N6A 5B7, Canada

关键词: Period-index problem;    Moduli stack;    Gerbe;    Orthogonal;    Symplectic;   

DOI  :  10.1016/j.jalgebra.2015.10.001

来源: Elsevier

【 摘 要 】

We consider regularly stable parabolic symplectic and orthogonal bundles over an irreducible smooth projective curve over an algebraically closed field of characteristic zero. The morphism from the moduli stack of such bundles to its coarse moduli space is a mu(2)-gerbe. We study the period and index of this gerbe, and solve the corresponding period-index problem. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free