Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties (Lecture Notes in Mathematics / Mathematisches Institut der Universitat und Max-Planck-Institut fur Mathematik, Bonn)

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Название:Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties (Lecture Notes in Mathematics / Mathematisches Institut der Universitat und Max-Planck-Institut fur Mathematik, Bonn)

Автор: Lothar Gottsche

Издательство: Springer

ISBN: 3540578145

Дата издания:1994-04-28

Страниц: 205

Язык:Английский

Формат:PDF

Размер: 6.17 MB

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.