On The Cohomology Groups Of Complex analytic Manifolds

Authors : Sabahattin BALCI

Pages : 0-0

Doi:10.1501/Commua1_0000000305

View : 18 | Download : 13

Publication Date : 1989-01-01

Article Type : Research Paper

Abstract :Let X be a connected complex analytic manifold of dimension n with fundamental group 7^ {1}’ xgX. Let H be the sheaf of the fundamental groups över X, [H.H] <= H be the commutator subsheaf, Q be the sheaf of Abelian groups [1 ] determined by [H,H ] över X and A be the Restricted sheaf of germs of holomorphic functions on X defined in [4 ]. It is shown, in this paper, that; The Cohomology group H®insert ignore into journalissuearticles values(X,Q); of the structure sheaf Q of X is isomorphic to the Cohomology gorup H®insert ignore into journalissuearticles values(X,A); of the structure restricted sheaf A of X. Moreover, the Co­ homology group HPinsert ignore into journalissuearticles values(X,Q); of the structure sheaf Q of X and the Ğech Cohomology group stnıcture sheaf Q of equal to zero, for p 1.
Keywords : Cohomology Group, Complex analytic, Manifold