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.
Brauer groups of moduli of hyperelliptic curves via cohomological invariants / Di Lorenzo, A.; Pirisi, R.. - In: FORUM OF MATHEMATICS. SIGMA. - ISSN 2050-5094. - 9:(2021), pp. 2259-2333. [10.1017/fms.2021.55]
Brauer groups of moduli of hyperelliptic curves via cohomological invariants
Pirisi R.Co-primo
2021
Abstract
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.File allegati a questo prodotto
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