Vanishing of Brauer groups of moduli stacks of stable curves

We show that the cohomological Brauer groups of the moduli stacks of stable genus g curves over the integers and an algebraic closure of the rational numbers vanish for any $g\geq 2$ . For the n marked version, we show the same vanishing result in the range $(g,n)=(1,n)$ with $1\leq...

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Bibliographic Details
Main Authors: Sebastian Bartling, Kazuhiro Ito
Format: Article
Language:English
Published: Cambridge University Press 2025-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509425100765/type/journal_article
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