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arXiv · 1109.1919

Combinatorial Descent Data for Gerbes

Amnon Yekutieli
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Abstract

We consider descent data in cosimplicial crossed groupoids. This is a combinatorial abstraction of the descent data for gerbes in algebraic geometry. The main result is this: a weak equivalence between cosimplicial crossed groupoids induces a bijection on gauge equivalence classes of descent data.

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Amnon Yekutieli. 2011-09-09. Combinatorial Descent Data for Gerbes. https://arxiv.org/abs/1109.1919

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