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...

Ausführliche Beschreibung

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Bibliographische Detailangaben
1. Verfasser: Göttsche, Lothar
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Schriftenreihe:Lecture notes in mathematics 1572
Schlagworte:
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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
Inhaltsangabe:
  • 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.