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

By Lothar Göttsche

During this ebook we learn Hilbert schemes of zero-dimensional subschemes of tender forms and a number of other similar parameter sorts of curiosity in enumerative geometry. the most target this is to explain their cohomology and Chow earrings. a few enumerative functions also are given. The Weil conjectures are used to compute the Betti numbers of the various kinds thought of, hence additionally illustrating how this strong instrument might be utilized. The publication is basically self-contained, assuming just a easy wisdom of algebraic geometry; it truly is meant either for graduate scholars and learn mathematicians attracted to Hilbert schemes, enumertive geometry and moduli areas.

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