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<図書>
Mixed Hodge structures and singularities

責任表示 Valentine S. Kulikov
シリーズ Cambridge tracts in mathematics ; 132
データ種別 図書
出版情報 New York : Cambridge University Press , 1998
本文言語 英語
大きさ xxi, 186 p. ; 24 cm
概要 This vital work is both an introduction to, and a survey of singularity theory, in particular, studying singularities by means of differential forms. Here, some ideas and notions that arose in global ...lgebraic geometry, namely mixed Hodge structures and the theory of period maps, are developed in the local situation to study the case of isolated singularities of holomorphic functions. The author introduces the Gauss-Manin connection on the vanishing cohomology of a singularity, that is on the cohomology fibration associated to the Milnor fibration, and draws on the work of Brieskorn and Steenbrink to calculate this connection, and the limit mixed Hodge structure. This is an excellent resource for all researchers in singularity theory, algebraic or differential geometry. 続きを見る
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所蔵情報



理系図1F 開架 414.5/Ku 29/54980112 1998
054211998001120


理系図3F 数理独自 KULI/5/1 c1998
023211998002617

書誌詳細

一般注記 Includes bibliographical references and index
著者標目 *Kulikov, Valentine S., 1948-
件 名 LCSH:Hodge theory
LCSH:Singularities (Mathematics)
分 類 LCC:QA564
DC21:516.3/5
NDC8:414.5
書誌ID 1001401200
ISBN 0521620600
NCID BA35265763
巻冊次 ISBN:0521620600
登録日 2009.11.02
更新日 2009.11.02