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arXiv · 2111.04258

Adelic double cosets over semi-global fields

David Harbater
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Abstract

Double coset spaces of adelic points on linear algebraic groups arise in the study of global fields; e.g., concerning local-global principles and torsors. A different type of double coset space plays a role in the study of semi-global fields such as p-adic function fields. This paper relates the two, by establishing adelic double coset spaces over semi-global fields; relating them to local-global principles and torsors; and providing explicit examples.

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David Harbater. 2021-11-08. Adelic double cosets over semi-global fields. https://arxiv.org/abs/2111.04258

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