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9781470469696 Academic Inspection Copy

A Comparison Theorem for Semi-Abelian Schemes over a Smooth Curve

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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.
Fabien Trihan, Sophia University, Tokyo, Japan, and David Vauclair, Normandie University, Caen, France.
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
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