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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
シリーズ Cambridge studies in advanced mathematics ; 33
データ種別 図書
出版者 Cambridge [England] : Cambridge University Press
出版年 1992
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
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所蔵情報


理系図3F 数理独自 068222193000845 SOUL/20/1 1992

書誌詳細

一般注記 Includes bibliographical references (p. [169]-175) and index
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 1000036254
ISBN 0521416698
NCID BA18331963
巻冊次 : hard ; ISBN:0521416698 ; PRICE:£30.00
NBN B9246790
登録日 2009.09.10
更新日 2017.03.14

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