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2 results

  • Cohomological invariants of root stacks and admissible double coverings

  • Part of
  • Andrea Di Lorenzo, Roberto Pirisi
  • Journal:
    Canadian Journal of Mathematics / Volume 75 / Issue 1 / February 2023
    Published online by Cambridge University Press:
    02 November 2021, pp. 202-224
    Print publication:
    February 2023
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  • We give a formula for the cohomological invariants of a root stack, which we apply to compute the cohomological invariants and the Brauer group of the compactification of the stacks of hyperelliptic curves given by admissible double coverings.

  • Brauer groups of moduli of hyperelliptic curves via cohomological invariants

  • Part of
  • Andrea Di Lorenzo, Roberto Pirisi
  • Journal:
    Forum of Mathematics, Sigma / Volume 9 / 2021
    Published online by Cambridge University Press:
    17 September 2021, e64
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      • Open access
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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.