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<図書>
p-adic differential equations

責任表示 Kiran S. Kedlaya
シリーズ Cambridge studies in advanced mathematics ; 125
データ種別 図書
出版者 Cambridge : Cambridge University Press
出版年 2010
本文言語 英語
大きさ xvii, 380 p. : ill. ; 24 cm
概要 "Over the last 50 years the theory of p-adic differential equations has grown into an active area of research in its own right, and has important applications to number theory and to computer science....This book, the first comprehensive and unified introduction to the subject, improves and simplifies existing results as well as including original material. Based on a course given by the author at MIT, this modern treatment is accessible to graduate students and researchers. Exercises are included at the end of each chapter to help the reader review the material, and the author also provides detailed references to the literature to aid further study"--Provided by publisher.続きを見る
目次 Norms on algebraic structures
Newton polygons
Ramification theory
Matrix analysis
Formalism of differential algebra
Metric properties of differential modules
Regular singularities
Rings of functions on discs and annuli
Radius and generic radius of convergence
Frobenius pullback and pushforward
Variation of generic and subsidiary radii
Decomposition by subsidiary radii
p-adic exponents
Formalism of difference algebra
Frobenius modules
Frobenius modules over the Robba ring
Frobenius structures on differential modules
Effective convergence bounds
Galois representations and differential modules
The p-adic local monodromy theorem
The p-adic local monodromy theorem: proof
Picard-Fuchs modules
Rigid cohomology
p-adic Hodge theory.
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所蔵情報


理系図3F 数理独自 033212010001830 KEDL/10/1 2010

書誌詳細

一般注記 Includes bibliographical references (p. 365-373) and index
著者標目 *Kedlaya, Kiran S.
件 名 LCSH:p-adic analysis
LCSH:Differential equations
分 類 LCC:QA241
DC22:512.7/4
書誌ID 1001424617
ISBN 9780521768795
NCID BB02372062
巻冊次 ISBN:9780521768795
登録日 2010.07.06
更新日 2017.02.18

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