$p$-Adic Hodge Theory for Artin Stacks
Seiten
2025
American Mathematical Society (Verlag)
978-1-4704-7136-1 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-7136-1 (ISBN)
Offering a deep dive into current realms of pure and applied mathematics, these memoirs compile extensive, interrelated papers into cohesive volumes. Supervised by the AMS Editorial Committee and peer-reviewed for excellence, each installment unveils fresh research insights that propel mathematical inquiry forward.
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.
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.
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.
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
| Erscheinungsdatum | 12.06.2025 |
|---|---|
| Reihe/Serie | Memoirs of the American Mathematical Society |
| Verlagsort | Providence |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 1-4704-7136-1 / 1470471361 |
| ISBN-13 | 978-1-4704-7136-1 / 9781470471361 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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