Integration of One-forms on P-adic Analytic Spaces. (AM-162)
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 1980s, Robert Coleman discovered a way to construct primitives of analytic one-forms on certain smooth p-adic analytic curves in a bigger class of functions. Since then, there have been several attem…
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- Full title :Integration of One-forms on P-adic Analytic Spaces. (AM-162).
Summary
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 1980s, Robert Coleman discovered a way to construct primitives of analytic one-forms on certain smooth p-adic analytic curves in a bigger class of functions. Since then, there have been several attempts to generalize his ideas to smooth p-adic analytic spaces of higher dimension, but the spaces c.
Read More ↓Edition Statements
- Publication Date:2006.
Publication Statements
- Publisher(s):Princeton University Press
- Place of Publication:Princeton
- Language:eng
- Publication Date:2006.
The Physical Object
- Description:1 online resource (163 pages).
Edition Identifiers
- ISBN:9781400837151, 1400837154, 0691128626, 9780691128627
- oclc:ocn845250381
- LC Classification:QA241.B475 2007
- Dewey Decimal:516.3
Table of Contents
""Cover""; ""Title""; ""Copyright""; ""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""; ""5. Isocrystals""; ""6. F-isocrystals""; ""7. Construction of the Sheaves""; ""8. Properties of the sheaves""; ""9. Integration and Parallel Transport along a Path""; ""References""; ""Index of Notation""; ""Index of Terminology""
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