Synopsis
Paperback. Pub Date: November 2004 Pages: 234 in Publisher: World Publishing Company H. CARTAN and the J.-P. SERRE have shown how fundamental theoremson holomorphically complete manifolds (STEIN manifolds) can be for-mulated in terms of sheaf theory . These theorems imply many facts offunction theory because the domains of holomorphy are holomorphicallycomplete. They can also be applied to algeaic geometry because thecomplement of a hyperplane section of an algeaic manifold is holo-morphically complete. J.-P. SERRE has obtained important results onalgeaic manifolds by these and other methods. Recently many of hisresults have been proved for algeaic varieties defined over a field ofarbitrary characteristic. K. KODAIRA and DC SPENCER have alsoapplied sheaf theory to algeaic geometry with great success. Theirmethods differ from those of SERRE in that they use techniques fromdif...
"synopsis" may belong to another edition of this title.
