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.Comment: 28 pages, comments are very welcome

Di Lorenzo, Andrea

Pirisi, Roberto

Forum of Mathematics Sigma

English

arXiv

Using the theory of cohomological invariants for algebraic stacks, we compute the Brauer group of the moduli stack of hyperelliptic curves over any field of characteristic. In positive characteristic, we compute the part of the Brauer group whose order is prime to the characteristic of the base field

Di Lorenzo A.

Pirisi R.

Archivio della ricerca - Università degli studi di Napoli Federico II

Brauer groups of moduli of hyperelliptic curves via cohomological invariants

This article was supported by the German Research Foundation (DFG) and the Open Access Publication Fund of Humboldt-Universität zu Berlin.Using the theory of cohomological invariants for algebraic stacks, we compute the Brauer group of the moduli stack of hyperelliptic curves Hg over any field of characteristic 0. In positive characteristic, we compute the part of the Brauer group whose order is prime to the characteristic of the base field.Peer Reviewe

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https://edoc.hu-berlin.de/bitstream/18452/25234/1/brauer-groups-of-moduli-of-hyperelliptic-curves-via-cohomological-invariants.pdf

Brauer groups of moduli of hyperelliptic curves via cohomological invariants

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Archivio della ricerca - Università degli studi di Napoli Federico II

Dokumenten-Publikationsserver der Humboldt-Universität zu Berlin

Archivio della ricerca- Università di Roma La Sapienza