Homolohy Group and Generalized Riemann -Roch Theorem
In this paper we show in particular th a t if X is a connected com plex analytic m anifold w ith fundam ental group F =|= 1, th en the com m utator subgroup [F, F ] determ ines com plete’y the vector space A(X) of holom orphic functions on X. As a consequence, sim ilarly and generally every norm al subgroup D of F such th a t F /D is com m utative determ ines com pletely an ideal of A(X). In this paper we recollect and expand on th e results obtained in [1, 2 ] and deduce thereof th e fundam ental Theorem . The paper is nevertheless self-contained.
Keywords:
Homolohy, Generalized Theorem,
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- Communications, Series A1:Mathematics and Statistics
- ISSN: 1303-5991
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 1948
- Yayıncı: Ankara Üniversitesi