Hilbert schemes of zero-dimensional subschemes of smooth varieties
Author(s)
Bibliographic Information
Hilbert schemes of zero-dimensional subschemes of smooth varieties
（Lecture notes in mathematics, 1572 . Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik,
Springer-Verlag, c1994
- : us
- : gw
Available at / 87 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Etchujima library, Tokyo University of Marine Science and Technology自然
: gw410.8||L 1||1572179321
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
dc20:516.3/g5552070294143
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Note
Includes bibliography (p. [184]-191), [general] index and index of notations
Description and Table of Contents
Description
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.
Table of 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.
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