A p-adic Cartier isomorphism between the Ainf-cohomology and de Rham-Witt complexes for semistable formal schemes

Abstract

Cesnavicius-Koshikawa constructed the Ainf-cohomology theory for semistable formal schemes over the ring of integers of Cp. We prove the p-adic Cartier isomorphism between the Ainf-cohomology and de Rham-Witt complexes for semistable formal schemes, extending the result of Bhatt-Morrow-Scholze in the smooth case.

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