Potentially stably rational conic bundles over nonclosed fields

2024/10/28 by Yang, Kaiqi
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2410.21436

Abstract

We study stable rationality of conic bundles X over ℙ¹ 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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