Crystalline Cohomology and the Geometry of Perfectoid Shimura Varieties at Infinite Level

Zenodo (CERN European Organization for Nuclear Research) 2026 Open access

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Authors: Zen Revista, 10 MFC
DOI: 10.5281/zenodo.18145679
Cited by: 0

Abstract

We establish a canonical isomorphism between the crystalline cohomology of the special fiber of a perfectoid Shimura variety and the p-adic de Rham cohomology of its generic fiber via the Ainf-cohomology of the associated adic space.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Advanced Algebra and Geometry Algebraic structures and combinatorial models

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
4 January 2026