de Concini-Procesi Models of Arrangements and Symmetric Group Actions (Paperback) (ISBN-13: 9788876422898)

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.

Author: Giovanni Gaiffi
ISBN-10: 8876422897
ISBN-13: 9788876422898
Publisher: Edizioni Della Normale
Language: English
Published: 10/01/1999
Pages: 108
Format: Paperback
Weight: 0.56lbs
Size: 9.46h x 6.66w x 0.34d