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Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties / by Lothar Göttsche
(Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn ; 1572)

1st ed. 1994.
出版者 Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年 1994
本文言語 英語
大きさ X, 202 p : online resource
冊子体 Hilbert schemes of zero-dimensional subschemes of smooth varieties / Lothar Göttsche ; : us,: gw
著者標目 *Göttsche, Lothar author
SpringerLink (Online service)
件 名 LCSH:Algebraic geometry
FREE:Algebraic Geometry
一般注記 Fundamental facts -- Computation of the Betti numbers of Hilbert schemes -- The varieties of second and higher order data -- The Chow ring of relative Hilbert schemes of projective bundles
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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HTTP:URL=https://doi.org/10.1007/BFb0073491
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Springer eBooks 9783540483380
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データ種別 電子ブック
分 類 LCC:QA564-609
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書誌ID 4000109528
ISBN 9783540483380

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