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<図書>
Hilbert schemes of zero-dimensional subschemes of smooth varieties

責任表示 Lothar Göttsche
シリーズ Lecture notes in mathematics ; 1572 . Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn ; v. 19
データ種別 図書
出版者 Berlin ; New York : Springer-Verlag
出版年 c1994
本文言語 英語
大きさ viii, 196 p. ; 24 cm
概要 In this book we study Hilbert schemes of zero-dimensional subschemes of smooth varieties and several related parameter varieties of interest in enumerative geometry. The main aim here is to describe ...heir cohomology and Chow rings. Some enumerative applications are also given. The Weil conjectures are used to compute the Betti numbers of many of the varieties considered, thus also illustrating how this powerful tool can be applied. The book is essentially self-contained, assuming only a basic knowledge of algebraic geometry; it is intended both for graduate students and research mathematicians interested in Hilbert schemes, enumertive geometry and moduli spaces.
In this book we study Hilbert schemes of zero-dimensional subschemes of smooth varieties and several related parameter varieties of interest in enumerative geometry. The main aim here is to describe their cohomology and Chow rings. Some enumerative applications are also given. The Weil conjectures are used to compute the Betti numbers of many of the varieties considered, thus also illustrating how this powerful tool can be applied. The book is essentially self-contained, assuming only a basic knowledge of algebraic geometry; it is intended both for graduate students and research mathematicians interested in Hilbert schemes, enumertive geometry and moduli spaces.
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所蔵情報


理系図 自動書庫 068582194002425 410.8/L 493/(1572)A 1994
: us 中央図 3E 068582194003100 410.8/L 493/(1572) 1994
: gw 数理 雑誌室 068252195010498 SER/LNM/K1572 1994 410.8

書誌詳細

一般注記 Includes bibliography (p. [184]-191), [general] index and index of notations
著者標目 *Göttsche, Lothar
件 名 LCSH:Hilbert schemes
LCSH:Varieties (Universal algebra)
分 類 NDC8:410.8
LCC:QA3
LCC:QA564
DC20:510 s
DC20:516.3/53
書誌ID 1000032994
ISBN 0387578145
NCID BA22360954
巻冊次 : us ; ISBN:0387578145
: gw ; ISBN:3540578145
登録日 2009.09.10
更新日 2017.02.18

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