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Potentially stably rational conic bundles over nonclosed fields
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Potentially stably rational conic bundles over nonclosed fields

2024-10-28

Abstract

Mathematics - Algebraic Geometry
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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