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de Concini-Procesi Models of Arrangements and Symmetric Group Actions

by Giovanni Gaiffi
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₹1,563.00
Original price ₹1,563.00
Original price ₹1,563.00
₹1,563.00
Current price ₹1,563.00

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Book cover type: Paperback
  • ISBN13: 9788876422898
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Edizioni Della Normale
  • Publisher Imprint: Edizioni Della Normale
  • Publication Date:
  • Pages: 108
  • Original Price: USD 14.95
  • Language: English
  • Edition: 1999
  • Item Weight: 254 grams
  • BISAC Subject(s): Physics / Mathematical & Computational

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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