Théorèmes d'annulation et lieux de dégénérescence en petit corang
Chaput, Pierre-Emmanuel
HAL, hal-00004171 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-07-05
Classification:  vanishing theorems,  grassmannian,  14F17,  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG] 
@article{hal-00004171,
     author = {Chaput, Pierre-Emmanuel},
     title = {Th\'eor\`emes d'annulation et lieux de d\'eg\'en\'erescence en petit corang},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00004171}
}

Chaput, Pierre-Emmanuel. Théorèmes d'annulation et lieux de dégénérescence en petit corang. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00004171/