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

2023/03/18 by Kensuke Aoki, Aoki, Kensuke
Mathematics · Pharmacology, Toxicology and Pharmaceutics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Alkaloids: synthesis and pharmacology #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2303.10492

openalex publication_date 2023/03/18 · openalex created_date 2023/03/22 · openalex updated_date 2026/07/28

Abstract

Česnavičius-Koshikawa constructed the A_inf-cohomology theory for semistable formal schemes over the ring of integers of C_p. We prove the p-adic Cartier isomorphism between the A_inf-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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