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arXiv · 2410.21436

Potentially stably rational conic bundles over nonclosed fields

Kaiqi Yang
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Abstract

We study stable rationality of conic bundles $X$ over $\mathbb{P}^1$ defined over non-closed field $k$ via the cohomology of the Galois group of finite field extension $k'/k$ with action on the geometric Picard lattice of $X$.

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Kaiqi Yang. 2024-10-28. Potentially stably rational conic bundles over nonclosed fields. https://arxiv.org/abs/2410.21436

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