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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 ; New York : Cambridge University Press
出版年 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

所蔵情報

: pbk 理系図1F 開架 003212003002304 414/So 82 1994

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
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

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