Homolohy Group and Generalized Riemann -Roch Theorem

Authors : Cengiz ULUÇAY

Pages : 0-0

Doi:10.1501/Commua1_0000000221

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Publication Date : 1983-01-01

Article Type : Research Paper

Abstract :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 Ainsert ignore into journalissuearticles values(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 Ainsert ignore into journalissuearticles values(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