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This book aims to show that every smooth p-adic analytic space is provided with a sheaf of functions that includes all analytic ones and satisfies a uniqueness property. It also contains local primitives of all closed one-forms with coefficients in the sheaf that, in the case considered by Coleman, coincide with those he constructed. In consequence, one constructs a parallel transport of local solutions of a unipotent differential equation and an integral of a closed one-form along a path so that both depend nontrivially on the homotopy class of the path.
Both the author's previous results on geometric properties of smooth p-adic analytic spaces and the theory of isocrystals are further developed in this book, which is aimed at graduate students and mathematicians working in the areas of non-Archimedean analytic geometry, number theory, and algebraic geometry.
This book aims to show that every smooth p-adic analytic space is provided with a sheaf of functions that includes all analytic ones and satisfies a uniqueness property. It also contains local primitives of all closed one-forms with coefficients in the sheaf that, in the case considered by Coleman, coincide with those he constructed. In consequence, one constructs a parallel transport of local solutions of a unipotent differential equation and an integral of a closed one-form along a path so that both depend nontrivially on the homotopy class of the path.
Both the author's previous results on geometric properties of smooth p-adic analytic spaces and the theory of isocrystals are further developed in this book, which is aimed at graduate students and mathematicians working in the areas of non-Archimedean analytic geometry, number theory, and algebraic geometry.
| Erscheinungsjahr: | 2006 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: | Kartoniert / Broschiert |
| ISBN-13: | 9780691128627 |
| ISBN-10: | 0691128626 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Berkovich, Vladimir G. |
| Redaktion: |
Stein, Elias
Mather, John N. Griffiths, Phillip |
| Hersteller: | Princeton University Press |
| Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
| Maße: | 234 x 156 x 9 mm |
| Von/Mit: | Vladimir G. Berkovich |
| Erscheinungsdatum: | 03.12.2006 |
| Gewicht: | 0,26 kg |
| Erscheinungsjahr: | 2006 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: | Kartoniert / Broschiert |
| ISBN-13: | 9780691128627 |
| ISBN-10: | 0691128626 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Berkovich, Vladimir G. |
| Redaktion: |
Stein, Elias
Mather, John N. Griffiths, Phillip |
| Hersteller: | Princeton University Press |
| Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
| Maße: | 234 x 156 x 9 mm |
| Von/Mit: | Vladimir G. Berkovich |
| Erscheinungsdatum: | 03.12.2006 |
| Gewicht: | 0,26 kg |
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