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Integration of one-forms on p-adic analytic spaces

Author: Vladimir G Berkovich
Publisher: Princeton, N.J. : Princeton University Press, 2007.
Series: Annals of mathematics studies, no. 162.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Berkovich, Vladimir G.
Integration of one-forms on p-adic analytic spaces.
Princeton, N.J. : Princeton University Press, 2007
(DLC) 2006921278
(OCoLC)73955249
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Vladimir G Berkovich
ISBN: 9781400837151 1400837154
OCLC Number: 793400659
Language Note: In English.
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (vi, 156 pages).
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: Naive analytic functions and formulation of the main result --
Étale neighborhoods of a point in a smooth analytic space --
Properties of strictly poly-stable and marked formal schemes --
Properties of the sheaves --
Isocrystals --
F-isocrystals --
Construction of the Sheaves --
Properties of the sheaves --
Integration and parallel transport along a path.
Series Title: Annals of mathematics studies, no. 162.
Responsibility: Vladimir G. Berkovich.
More information:

Abstract:

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  Read more...

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