Download E-books Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties (Lecture Notes in Mathematics) PDF

By Lothar Göttsche

During this e-book we learn Hilbert schemes of zero-dimensional subschemes of soft types and a number of other similar parameter different types of curiosity in enumerative geometry. the most objective this is to explain their cohomology and Chow jewelry. a few enumerative functions also are given. The Weil conjectures are used to compute the Betti numbers of some of the forms thought of, therefore additionally illustrating how this strong instrument will be utilized. The publication is basically self-contained, assuming just a uncomplicated wisdom of algebraic geometry; it really is meant either for graduate scholars and examine mathematicians attracted to Hilbert schemes, enumertive geometry and moduli areas.

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