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arXiv · 2508.07447

Brauer classes not split by genus one curves

Zinovy Reichstein·Federico Scavia
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Abstract

We show that there exist Brauer classes over a field $F$ which are not split by any genus one curve over $F$. This answers a question of Clark and Saltman.

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Zinovy Reichstein, Federico Scavia. 2025-08-10. Brauer classes not split by genus one curves. https://arxiv.org/abs/2508.07447

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