On The Cohomology Groups Of Complex analytic Manifolds

Sabahattin BALCI

doi:https://doi.org/10.1501/Commua1_0000000305

Makale detayları

On The Cohomology Groups Of Complex analytic Manifolds

Yazarlar:

Sabahattin BALCI

Yayıncı:

Ankara University

Ana Başlıklar:

Matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 1989 Vol.38 Issue 01.02

Belge Tipi:

Makale

Yayın Tarihi:

12/1988

Belge Dili:

İngilizce

Document ID (Org No.):

2000910381

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.1501/Commua1_0000000305

Özet:

 

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®(X,Q) of the structure sheaf Q of X is isomorphic to the Cohomology gorup H®(X,A) of the structure restricted sheaf A of X. Moreover, the Co homology group HP(X,Q) of the structure sheaf Q of X and the Ğech Cohomology group stnıcture sheaf Q of equal to zero, for p 1.

Makale detayları

On The Cohomology Groups Of Complex analytic Manifolds

Yazarlar: Sabahattin BALCI

Yayıncı: Ankara University

Ana Başlıklar: Matematik

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 1989 Vol.38 Issue 01.02

Belge Tipi: Makale

Yayın Tarihi: 12/1988

Belge Dili: İngilizce

Document ID (Org No.): 2000910381

Sıklık: Üç Aylık

eISSN: 2618-6470

pISSN: 1303-5991

DOI: https://doi.org/10.1501/Commua1_0000000305

Sayı

Yazarlar:

Sabahattin BALCI

Yayıncı:

Ankara University

Ana Başlıklar:

Matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 1989 Vol.38 Issue 01.02

Belge Tipi:

Makale

Yayın Tarihi:

12/1988

Belge Dili:

İngilizce

Document ID (Org No.):

2000910381

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.1501/Commua1_0000000305