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arXiv · 1808.06951

Sous-groupe de Brauer invariant pour un groupe alg\'ebrique connexe quelconque

Yang Cao
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Abstract

In this paper, for a smooth variety equiped with an action of a connected algebraic group (not necessary linear), we introduce the notion of invariant Brauer sub-group and the notion of invariant \'etale Brauer-Manin obstruction. Then we prove that this obstruction is equivalent to the \'etale Brauer-Manin obstruction. This extends the main notion and the key result of [C17]. As a corollary, this also extends a result of B. Creutz.

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Yang Cao. 2018-08-20. Sous-groupe de Brauer invariant pour un groupe alg\'ebrique connexe quelconque. https://arxiv.org/abs/1808.06951

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