Théorèmes d'annulation et lieux de dégénérescence en petit corang
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
