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arXiv · 1908.03131

Some properties of a Brauer class

Qixiao Ma
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Abstract

Let $X$ be a smooth proper curve defined over a field $k$. The representability of the relative Picard functor is obstructed by a class $\alpha\in\mathrm{Br}(\mathrm{Pic}_{X/k})$. We show the associated division algebra on $\mathrm{Pic}^0_{X/k}$ has natural involutions. We show the class $\alpha$ splits at some height one points in $\mathrm{Pic}_{X/k}$.

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Qixiao Ma. 2019-08-08. Some properties of a Brauer class. https://arxiv.org/abs/1908.03131

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