Resumen de Hodge-gaussianmaps

Elisabetta Colombo, Gian Pietro Pirola, Alfonso Tortora

• 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.