Faithfully flat descent of quasi-coherent complexes on rigid analytic varieties via condensed mathematics

2022/06/29 by Mikami, Yutaro
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2206.14795

Abstract

Faithfully flat descent of pseudo-coherent complexes in rigid geometry was proved by Mathew. In this paper, we generalize the result of Mathew to quasi-coherent complexes on rigid analytic varieties, which have been introduced by Clausen and Scholze by means of condensed mathematics.

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