Mendeley出力
＜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 |
| 出版情報 | Cambridge : Cambridge University Press , 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.続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6864660 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
|---|---|---|---|---|---|---|---|---|---|---|
|
|
|
理系図3F 数理独自 | KEDL/10/1 | 2010 |
|
033212010001830 |
|
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 |