arXiv:2002.11065 Abstract | arXiv Analytics

arXiv:2002.11065 [math.AG]Abstract References Reviews Resources

Brauer groups of moduli of hyperelliptic curves via cohomological invariants

Published 2020-02-25Version 1

We compute the Brauer group of the moduli stack of hyperelliptic curves $\mathcal{H}_g$ over any field of characteristic zero. In positive characteristic, we compute the part of the Brauer group whose order is prime to the characteristic of the base field.

Comments: 28 pages, comments are very welcome!

Categories: math.AG

Subjects: 14D23, 14F22, 14H10, 14F43

Keywords: brauer group, hyperelliptic curves, cohomological invariants, moduli stack, base field

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