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Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties : NATO Asi Series - Lothar Gottsche

Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties

NATO Asi Series

Paperback

Published: 28th March 1994
Ships: 5 to 9 business days
5 to 9 business days
$69.10

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.

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.

ISBN: 9783540578147
ISBN-10: 3540578145
Series: NATO Asi Series
Audience: General
Format: Paperback
Language: English
Number Of Pages: 202
Published: 28th March 1994
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.14
Weight (kg): 0.3