Integration of One-forms on P-adic Analytic Spaces. (AM-162) / / Vladimir G. Berkovich.
Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place. For example, a closed p-adic analytic one-form defined on a simply-connected domain does not necessarily have a primitive in the class of analytic functions. In the early...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2006] ©2007 |
| Year of Publication: | 2006 |
| Edition: | Course Book |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
162 |
| Online Access: | |
| Physical Description: | 1 online resource (168 p.) :; 14 line illus. |
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Table of Contents:
- Frontmatter
- Contents
- Introduction
- 1. Naive Analytic Functions and Formulation of the Main Result
- 2. Étale Neighborhoods of a Point in a Smooth Analytic Space
- 3. Properties of Strictly Poly-stable and Marked Formal Schemes
- 4. Properties of the Sheaves Ω1.dx/dOX
- 5. Isocrystals
- 6. F-isocrystals
- 7. Construction of the Sheaves SλX
- 8. Properties of the sheaves SλX
- 9. Integration and Parallel Transport along a Path
- References
- Index of Notation
- Index of Terminology