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de Concini-Procesi Models of Arrangements and Symmetric Group Actions (1999)

Contributor(s): Gaiffi, Giovanni (Author)

ISBN: 9788876422898

Publisher: Edizioni Della Normale

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Pub Date: October 1, 1999

Dewey: 530.15

Lexile Code: 0000

Target Age Group: NA to NA

Physical Info: 0.34" H x 9.46" L x 6.66" W ( 0.56 lbs) 108 pages

Series: Publications of the Scuola Normale Superiore

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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.

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