Publications of the Scuola Normale Superiore

De Concini-Procesi models of arrangements and symmetric group actions

Authors: Gaiffi, Giovanni

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About this book

In this thesis we deal with the models of subspace arrangements introduced by De Concini and Procesi. In particular we study their integer cohomology rings, which are torsion free Z-modules of which we find Z-bases. When the considered arrangement is the braid hyperplane arrangement, this leads to the study of the integer cohomology rings of the moduli spaces of n-pointed curves of genus 0 and of their Mumford-Deligne compactifications. We deal with the action of the symmetric group on the cohomology rings: we give explicit formulas for the associated generalized Poincaré series, and provide recursive formulas for the characters.

Buy this book

Softcover $14.95
price for USA
  • ISBN 978-88-7642-289-8
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.

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Bibliographic Information

Bibliographic Information
Book Title
De Concini-Procesi models of arrangements and symmetric group actions
Authors
Series Title
Publications of the Scuola Normale Superiore
Copyright
1999
Publisher
Edizioni della Normale
Copyright Holder
Edizioni della Normale
Softcover ISBN
978-88-7642-289-8
Edition Number
1
Number of Pages
108
Topics