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Logarithmic Prismatic Cohomology I

Published 28 Jul 2020 in math.AG and math.NT | (2007.14037v3)

Abstract: We introduce a logarithmic variant of the notion of $\delta$-rings, which we call $\delta_{\log}$-rings, and use it to define a logarithmic version of the prismatic site introduced by Bhatt and Scholze. In particular, this enables us to construct the Breuil-Kisin cohomology in the semistable case.

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