De Concini-Procesi models of arrangements and symmetric group actions

Giovanni Gaiffi (Autor)

Buch | Softcover

108 Seiten

1999 | 1999 ed.
Scuola Normale Superiore (Verlag)
9788876422898 (ISBN)

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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.

Erscheint lt. Verlag	1.10.1999
Reihe/Serie	Publications of the Scuola Normale Superiore
Zusatzinfo	108 p.
Verlagsort	Pisa
Sprache	englisch
Maße	170 x 240 mm
Themenwelt	Mathematik / Informatik ► Mathematik
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
ISBN-13	9788876422898 / 9788876422898
Zustand	Neuware