A Comparison Theorem for Semi-Abelian Schemes Over a Smooth Curve
Published on 30. September 2024
Book
Paperback/Softback
216 pages
978-1-4704-6969-6 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
ISBN-13
978-1-4704-6969-6 (9781470469696)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Fabien Trihan, Sophia University, Tokyo, Japan, and David Vauclair, Normandie University, Caen, France.
Content
1. Introduction
2. Preliminaries part I: Category theoretical background
3. Preliminaries part II: Some properties for sheaves
4. Preliminaries part III: Crystals and local finite $p$-bases
5. Twisted syntomic complexes for Dieudonne crystals
6. Devissage of flat cohomology
7. Devissage of twisted syntomic complexes
8. Dieudonne crystals for semi-stable Abelian varieties
9. The comparison theorem
10. Index of notations
11. Index of terminology
2. Preliminaries part I: Category theoretical background
3. Preliminaries part II: Some properties for sheaves
4. Preliminaries part III: Crystals and local finite $p$-bases
5. Twisted syntomic complexes for Dieudonne crystals
6. Devissage of flat cohomology
7. Devissage of twisted syntomic complexes
8. Dieudonne crystals for semi-stable Abelian varieties
9. The comparison theorem
10. Index of notations
11. Index of terminology