| eBook ISBN: | 978-1-4704-0607-3 |
| Product Code: | MEMO/210/990.E |
| List Price: | $81.00 |
| MAA Member Price: | $72.90 |
| AMS Member Price: | $48.60 |
| eBook ISBN: | 978-1-4704-0607-3 |
| Product Code: | MEMO/210/990.E |
| List Price: | $81.00 |
| MAA Member Price: | $72.90 |
| AMS Member Price: | $48.60 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 210; 2011; 157 ppMSC: Primary 14; Secondary 11
The author develops a non–abelian version of \(p\)–adic Hodge Theory for varieties (possibly open with “nice compactification”) with good reduction. This theory yields in particular a comparison between smooth \(p\)–adic sheaves and \(F\)–isocrystals on the level of certain Tannakian categories, \(p\)–adic Hodge theory for relative Malcev completions of fundamental groups and their Lie algebras, and gives information about the action of Galois on fundamental groups.
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Table of Contents
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Chapters
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1. Introduction
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2. Review of some homotopical algebra
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3. Review of the convergent topos
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4. Simplicial presheaves associated to isocrystals
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5. Simplicial presheaves associated to smooth sheaves
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6. The comparison theorem
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7. Proofs of –
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8. A base point free version
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9. Tangential base points
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10. A generalization
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A. Exactification
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B. Remarks on localization in model categories
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C. The coherator for algebraic stacks
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D. $\widetilde B_{\textup {cris}}(V)$-admissible implies crystalline.
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The author develops a non–abelian version of \(p\)–adic Hodge Theory for varieties (possibly open with “nice compactification”) with good reduction. This theory yields in particular a comparison between smooth \(p\)–adic sheaves and \(F\)–isocrystals on the level of certain Tannakian categories, \(p\)–adic Hodge theory for relative Malcev completions of fundamental groups and their Lie algebras, and gives information about the action of Galois on fundamental groups.
-
Chapters
-
1. Introduction
-
2. Review of some homotopical algebra
-
3. Review of the convergent topos
-
4. Simplicial presheaves associated to isocrystals
-
5. Simplicial presheaves associated to smooth sheaves
-
6. The comparison theorem
-
7. Proofs of –
-
8. A base point free version
-
9. Tangential base points
-
10. A generalization
-
A. Exactification
-
B. Remarks on localization in model categories
-
C. The coherator for algebraic stacks
-
D. $\widetilde B_{\textup {cris}}(V)$-admissible implies crystalline.
