Théorèmes d'annulation et lieux de dégénérescence en petit corang

Details Théorèmes d'annulation et lieux de dégénérescence en petit corang Théorèmes d'annulation et lieux de dégénérescence en petit corang

2005-02-07

arxiv.org/abs/math/0502131v1

Mathematics

Algebraic Geometry

published in Documenta Matematica

Scientific paper

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.

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