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arXiv · 2207.08042

On the Brauer group of a generic Godeaux surface

Theodosis Alexandrou
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Abstract

Let $X$ be a Godeaux surface over $\mathbb{C}$ and $q_{X}\colon Y\to X$ be its universal cover. We show that the pullback map $q^{*}_{X}\colon Br(X)\to Br(Y)$ is injective if $ρ(Y)=9$. Our arguments rely on a degeneration technique that also applies to other examples.

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Theodosis Alexandrou. 2022-07-17. On the Brauer group of a generic Godeaux surface. https://arxiv.org/abs/2207.08042

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