Hodge-gaussianmaps

• Elisabetta Colombo ^[1] ; Gian Pietro Pirola ^[2] ; Alfonso Tortora ^[1]
  1. [1] Universita di Milano, Italy
  2. [2] Universita di Pavia, Italy
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 30, Nº 1, 2001, págs. 125-146
• Idioma: inglés
• Enlaces
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• Resumen

  • Let X be a compact Kahler manifold, and let L be a line bundle on X.

    Define Ik(L) to be the kernel of the multiplication map For all h we define a map When L is the canonical bundle, the map p computes a second fundamental form associated to the deformations of X.

    If X = C is a curve, then p is a lifting of the Wahl map 12 (L) ->

    KC2).

    We also show how to generalize the construction of p to the cases of harmonic bundles and of couples of vector bundles.