Vladimir G. BerkovichNovember 13, 2006

Princeton University PressThis 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.

Publisher

Princeton University Press

Published on

Nov 13, 2006

Pages

168

ISBN

9781400837151

Features

Best For

Language

English

Genres

Mathematics / Differential Equations / General

Mathematics / Geometry / Analytic

Mathematics / Geometry / Non-Euclidean

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