Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties

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 a...

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Đã lưu trong:
Chi tiết về thư mục
Tác giả chính: Göttsche, Lothar
Định dạng: Livre numérique
Ngôn ngữ:Anglais
Được phát hành: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Loạt:Lecture notes in mathematics 1572
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Edition sous un autre format:• Hilbert schemes of zero-dimensional subschemes of smooth varieties, Lothar Göttsche, Berlin, Springer, 1994, 1 vol. (VIII-196 p.), Lecture notes in mathematics, 3-540-57814-5
• Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties, Texte imprimé, 9783662186046
Miêu tả
Tóm tắt: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.
Mô tả sách:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
số ISBN:9783540483380 (PDF)
số ISSN:1617-9692
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