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De Concini-Procesi models of arrangements and symmetric group actions by Giovanni Gaiffi
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De Concini-Procesi models of arrangements and symmetric group actions

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Description

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.
Release date Australia
October 1st, 1999
Audience
  • Professional & Vocational
Illustrations
108 p.
Pages
108
Dimensions
170x240x9
ISBN-13
9788876422898
Product ID
12632461

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