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Start Over Topic analytic functions Language english Publication Type Books
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1. Chapter Nine: Integration and Parallel Transport along a Path.

Author

Berkovich, Vladimir G.

Subjects
MATHEMATICS, ANALYTIC spaces, ANALYTIC functions, FUNCTIONS of several complex variables, HOMOTOPY theory
Abstract

Chapter nine of the book "Annals of Mathematics Studies," by Vladimir G. Berkovich is presented. The book is based in the framework of non-Archimedean analytic spaces in the sense of [Ber1] and [Ber2] and this chapter describes the integration of closed one-forms along a path and nontrivial dependence on the homotopy class of a path. It also discusses locally unipotent and quasi-unipotent DX-modules.

Published
2001

2. Chapter Five: Isocrystals.

Author

Berkovich, Vladimir G.

Subjects
MATHEMATICS, ANALYTIC spaces, ANALYTIC functions, FUNCTIONS of several complex variables, GERMS (Mathematics)
Abstract

Chapter five of the book "Annals of Mathematics Studies," by Vladimir G. Berkovich is presented. The book is based in the framework of non-Archimedean analytic spaces in the sense of [Ber1] and [Ber2] and this chapter examines various objects related to a wide germ of a strictly k-affinoid space. It also describes D-modules on smooth strictly k-affinoid germs and isocrystals.

Published
2001