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

Jaya NN Iyer; Roy Joshua

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arXiv · 1707.09484

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

Jaya NN Iyer·Roy Joshua

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Abstract

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 `l 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: we prove such results only for curves defined over the field of complex numbers.

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BibTeX RIS

Jaya NN Iyer, Roy Joshua. 2017-07-29. Brauer groups of schemes associated to symmetric powers of smooth projective curves in arbitrary characteristics. https://arxiv.org/abs/1707.09484

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