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arXiv · 1705.01657

The Brauer group of $\mathscr{M}_{1,1}$ over algebraically closed fields of characteristic $2$

Minseon Shin
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Abstract

We prove that the Brauer group of the moduli stack of elliptic curves $\mathscr{M}_{1,1,k}$ over an algebraically closed field $k$ of characteristic $2$ is isomorphic to $\mathbb{Z}/(2)$. We also compute the Brauer group of $\mathscr{M}_{1,1,k}$ where $k$ is a finite field of characteristic $2$.

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Minseon Shin. 2017-05-03. The Brauer group of $\mathscr{M}_{1,1}$ over algebraically closed fields of characteristic $2$. https://arxiv.org/abs/1705.01657

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