Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties / by Lothar Göttsche.

Format:

Book

Author/Creator:

Göttsche, Lothar, 1961- author.

Contributor:

SpringerLink (Online service)

Series:

Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn ; 1572.

Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn ; 1572

Language:

English

Subjects (All):

Geometry, Algebraic.

Algebraic Geometry.

Local Subjects:

Algebraic Geometry.

Physical Description:

1 online resource (X, 202 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1994.

System Details:

text file PDF

Summary:

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:

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.

Other Format:

Printed edition:

ISBN:

9783540483380

Access Restriction:

Restricted for use by site license.