VANISHING COHOMOLOGY FOR HOLOMORPHIC VECTOR BUNDLES IN A BANACH SETTING
Asian J. Math., Tome 8 (2004) no. 1, p. 065-086 / Harvested from Project Euclid
For a large class of Banach spaces X we prove the following. If Ω ⊂ X is open and pseudoconvex, and E → Ω is a locally trivial holomorphic Banach bundle, then the sheaf cohomology groups Hq(Ω, E) vanish for q ≥ 1. We also give an application concerning neighborhoods of complex submanifolds.
Publié le : 2004-01-14
Classification: 
@article{1087840909,
     author = {LEMPERT
, L\'ASZL\'O},
     title = {VANISHING COHOMOLOGY FOR HOLOMORPHIC
VECTOR BUNDLES IN A BANACH SETTING},
     journal = {Asian J. Math.},
     volume = {8},
     number = {1},
     year = {2004},
     pages = { 065-086},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1087840909}
}
LEMPERT
, LÁSZLÓ. VANISHING COHOMOLOGY FOR HOLOMORPHIC
VECTOR BUNDLES IN A BANACH SETTING. Asian J. Math., Tome 8 (2004) no. 1, pp.  065-086. http://gdmltest.u-ga.fr/item/1087840909/