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arXiv · 2001.02924

Strong linkage for function fields of surfaces

Karim Johannes Becher·Parul Gupta
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Abstract

Over a global field any finite number of central simple algebras of exponent dividing $m$ is split by a common cyclic field extension of degree $m$. We show that the same property holds for function fields of two-dimensional excellent schemes over a henselian local domain of dimension one or two with algebraically closed residue field.

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Karim Johannes Becher, Parul Gupta. 2020-01-09. Strong linkage for function fields of surfaces. https://arxiv.org/abs/2001.02924

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