The Period-Index Problem of the Canonical Gerbe of Symplectic and Orthogonal Bundles

Details The Period-Index Problem of the Canonical Gerbe of Symplectic and Orthogonal Bundles The Period-Index Problem of the Canonical Gerbe of Symplectic and Orthogonal Bundles

2010-09-20

arxiv.org/abs/1009.3906v2

Mathematics

Algebraic Geometry

19 pages. Complete rewrite of the previous version, including expanded results on the moduli of parabolic G-bundles. Comments

Scientific paper

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.

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