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arXiv · 2002.11065

Brauer groups of moduli of hyperelliptic curves via cohomological invariants

Andrea Di Lorenzo·Roberto Pirisi
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Abstract

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.

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Andrea Di Lorenzo, Roberto Pirisi. 2020-02-25. Brauer groups of moduli of hyperelliptic curves via cohomological invariants. https://arxiv.org/abs/2002.11065

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