HOLOMORPHIC EMBEDDINGS OF STEIN SPACES IN INFINITE-DIMENSIONAL PROJECTIVE SPACES

E. BALLICO
2005 Journal of the Korean Mathematical Society  
Let X be a reduced Stein space and L a holomorphic line bundle on X. L is spanned by its global sections and the associated holomorphic map hL : X → P(H 0 (X, L) * ) is an embedding. Choose any locally convex vector topology τ on H 0 (X, L) * stronger than the weak-topology. Here we prove that h L (X) is sequentially closed in P(H 0 (X, L) * ) and arithmetically Cohen -Macaulay, i.e. for all integers k ≥ 1 the restriction map ρ k :
doi:10.4134/jkms.2005.42.1.129 fatcat:zrx7j3crgbahzbzn5ctn4relnq