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hal-00366894, version 1

On the first Stiefel-Whitney class of moduli space for real rational stable curves in the projective space

Nicolas Puignau 1

(30/07/2009)

Résumé : Moduli space of genus zero stable maps to the projective three-space naturally carries a real structure such that the fixed locus is a moduli space for real rational spatial curves with real marked points. The latter is a normal projective real variety. The singular locus being in codimension at least two, a first Stiefel-Whitney class is well defined. In this paper, we determine a representative for the first Stiefel-Whitney class of such real space when the evaluation map is generically finite. This can be done by means of Poincaré duals of boundary divisors.

  • 1 :  Laboratoire Émile Picard (LEP)
  • CNRS : UMR5580 – Université Paul Sabatier [UPS] - Toulouse III
  • Domaine : Mathématiques/Géométrie algébrique
    Mathématiques/Géométrie différentielle
  • Commentaire : 16 pages – 6 figures
 
  • hal-00366894, version 1
  • http://hal.archives-ouvertes.fr/hal-00366894
  • oai:hal.archives-ouvertes.fr:hal-00366894
  • Contributeur : Nicolas Puignau <>
  • Soumis le : Lundi 9 Mars 2009, 18:48:54
  • Dernière modification le : Lundi 9 Mars 2009, 18:51:24