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de Concini-Procesi Models of Arrangements and Symmetric Group Actions
de Concini-Procesi Models of Arrangements and Symmetric Group Actions
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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 coho…
  • Leidėjas:
  • Metai: 1999
  • Puslapiai: 108
  • ISBN-10: 8876422897
  • ISBN-13: 9788876422898
  • Formatas: 16.9 x 24 x 0.9 cm, minkšti viršeliai
  • Kalba: Anglų

de Concini-Procesi Models of Arrangements and Symmetric Group Actions (el. knyga) (skaityta knyga) | knygos.lt

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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.

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  • Autorius: Giovanni Gaiffi
  • Leidėjas:
  • Metai: 1999
  • Puslapiai: 108
  • ISBN-10: 8876422897
  • ISBN-13: 9788876422898
  • Formatas: 16.9 x 24 x 0.9 cm, minkšti viršeliai
  • Kalba: Anglų

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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