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Catalogue Information
Field name	Details
Dewey Class	516.35
Title	Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties ([EBook] /) / by Lothar Göttsche.
Author	Göttsche, Lothar
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1994.
Physical Details	X, 202 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1572
ISBN	9783540483380
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0073491
Links to Related Works	Subject References: Algebraic Geometry . Mathematics . Authors: Göttsche, Lothar . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 516.35 .

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Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties

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