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$p$-Adic Hodge Theory for Artin Stacks

Dmitry Kubrak Artem Prikhodko

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English
American Mathematical Society
31 March 2025
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
By:   ,
Imprint:   American Mathematical Society
Country of Publication:   United States
Volume:   Vol. 304 No. 1528
Dimensions:   Height: 254mm,  Width: 178mm, 
ISBN:   9781470471361
ISBN 10:   1470471361
Series:   Memoirs of the American Mathematical Society
Pages:   174
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
Chapters 1. Introduction 2. Hodge-proper stacks 3. De Rham, crystalline, and prismatic cohomology of stacks 4. Etale sheaves on geometric stacks 5. Etale cohomology of stacks 6. Local acyclicity of some quotient stacks 7. Applications A. Geometric stacks and quasi-coherent sheaves B. Fontaine's infinitesimal period ring ${A_{\mathrm {inf}}}$ C. Totalizations and coconnectivity

Dmitry Kubrak, Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France. Artem Prikhodko, National Research University, Moscow, Russia, and Center for Advanced Studies, Moscow, Russia.

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