Brauer groups of moduli of hyperelliptic curves via cohomological invariants
Forum of Mathematics, Sigma, Tome 9 (2021)

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Using the theory of cohomological invariants for algebraic stacks, we compute the Brauer group of the moduli stack of hyperelliptic curves ${\mathcal {H}}_g$ 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.
@article{10_1017_fms_2021_55,
     author = {Andrea Di Lorenzo and Roberto Pirisi},
     title = {Brauer groups of moduli of hyperelliptic curves via cohomological invariants},
     journal = {Forum of Mathematics, Sigma},
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     year = {2021},
     doi = {10.1017/fms.2021.55},
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Andrea Di Lorenzo; Roberto Pirisi. Brauer groups of moduli of hyperelliptic curves via cohomological invariants. Forum of Mathematics, Sigma, Tome 9 (2021). doi: 10.1017/fms.2021.55

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