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

Date

2016-01-15

Author

BİSWAS, Indranil
Coşkun, Emre
DHİLLON, Ajneet

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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.

Subject Keywords

Period-index problem, Moduli stack, Gerbe, Orthogonal, Symplectic

URI

https://hdl.handle.net/11511/33152

Journal

JOURNAL OF ALGEBRA

DOI

https://doi.org/10.1016/j.jalgebra.2015.10.001

Collections

Department of Mathematics, Article

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Citation Formats

I. BİSWAS, E. Coşkun, and A. DHİLLON, “The period-index problem of the canonical gerbe of symplectic and orthogonal bundles,” JOURNAL OF ALGEBRA, pp. 400–425, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/33152.