DOCUMENTA MATHEMATICA, Vol. 9 (2004), 499-525

Pierre-Emmanuel Chaput

Theoremes d'Annulation et Lieux de Degenerescence en Petit Corang

After giving an explicit description of all the non vanishing Dolbeault cohomology groups of ample line bundles on grassmannians, I give two series of vanishing theorems for ample vector bundles on a smooth projective variety. They imply a part of a conjecture by Fulton and Lazarsfeld about the connectivity of some degeneracy loci.

2000 Mathematics Subject Classification: 14F17

Keywords and Phrases: Théorèmes d'annulation, grassmannienne.

Full text: dvi.gz 49 k, dvi 134 k, ps.gz 770 k, pdf 259 k.


Home Page of DOCUMENTA MATHEMATICA