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HOLOMORPHIC EMBEDDINGS OF STEIN SPACES IN INFINITE-DIMENSIONAL PROJECTIVE SPACES
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 Title & Authors
HOLOMORPHIC EMBEDDINGS OF STEIN SPACES IN INFINITE-DIMENSIONAL PROJECTIVE SPACES
BALLICO E.;
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 Abstract
Lpt 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 is an embedding. Choose any locally convex vector topology stronger than the weak-topology. Here we prove that is sequentially closed in and arithmetically Cohen -Macaulay. i.e. for all integers the restriction map is surjective.
 Keywords
Stein space;infinite-dimensional complex projective space;infinite Grassmannian;arithmetically Cohen-Macaulay;
 Language
English
 Cited by
 References
1.
H. Grauert and R. Remmert, Theory of Stein Spaces, Springer, Berlin-Heidelberg- New York, 1979

2.
R. C. Gunning and H. Rossi, Analytic Functions of Several Complex Variables, Prentice-Hall, Inc., Englewood Cliffs, N. J., 1965

3.
H. H. Schaefer, Topological Vector Spaces, Springer, Berlin-Heidelberg-New York, 1999