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＜図書＞
Lectures on Arakelov geometry
| 責任表示 | C. Soulé ; written with D. Abramovich, J.-F. Burnol & J. Kramer |
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| シリーズ | Cambridge studies in advanced mathematics ; 33 |
| データ種別 | 図書 |
| 出版情報 | Cambridge ; New York : Cambridge University Press , 1994, c1992 |
| 本文言語 | 英語 |
| 大きさ | vi, 177 p. ; 23 cm |
| 概要 | Arakelov theory is a new geometric approach to diophantine equations. It combines algebraic geometry, in the sense of Grothendieck, with refined analytic tools such as currents on complex manifolds an... the spectrum of Laplace operators. It has been used by Faltings and Vojta in their proofs of outstanding conjectures in diophantine geometry. This account presents the work of Gillet and SoulT, extending Arakelov geometry to higher dimensions. It includes a proof of Serre's conjecture on intersection multiplicities and an arithmetic Riemann-Roch theorem. To aid number theorists, background material on differential geometry is described, but techniques from algebra and analysis are covered as well. Several open problems and research themes are also mentioned. 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/7015741 |
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 |
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: pbk | 理系図1F 開架 | 414/So 82 | 1994 |
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003212003002304 |
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書誌詳細
| 一般注記 | Includes bibliographical references (p. [169]-175) and index "First published 1992. First paperback 1994"--T.p. verso |
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| 著者標目 | *Soulé, Christophe |
| 件 名 | FREE:Algebraic geometry LCSH:Arithmetical algebraic geometry |
| 分 類 | DC20:516.35 NDC8:414 NDC8:411.8 |
| 書誌ID | 1000958504 |
| ISBN | 0521477093 |
| NCID | BA24977412 |
| 巻冊次 | : pbk ; ISBN:0521477093 |
| 登録日 | 2009.09.16 |
| 更新日 | 2017.03.14 |