Examples of varieties with index one on $C_1$-fields

Ananyo Dan; Inder Kaur

doi:10.1016/j.jnt.2019.03.001

paper

Examples of varieties with index one on $C_{1}$ -fields

arXiv:2001.01210 · doi:10.1016/j.jnt.2019.03.001

Abstract

Let $K$ be the fraction field of a Henselian discrete valuation ring with algebraically closed residue field $k$ . In this article we give a sufficient criterion for a projective variety over such a field to have index $1$ .

Published in Journal of Number Theory

References in corpus (1)

A pathological case of the $C_{1}$ conjecture in mixed characteristic

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Descent theory of simple sheaves on $C_{1}$ -fields

Examples of varieties with index one on C1​-fields

Abstract

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Examples of varieties with index one on $C_{1}$ -fields