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On Projectively Embeddable Complex-Foliated Structures
Author(s) -
Takeo Ohsawa
Publication year - 2012
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/87
Subject(s) - mathematics , geochemistry , pure mathematics , geology
An extension of Kodaira’s embedding theorem is proved for compact smoothly foliated manifolds with complex leaves. Existence of a leafwise positive line bundle is shown to be sufficient for C projective embeddability for all k < ∞. 2010 Mathematics Subject Classification: Primary 32E40, 32V40; Secondary 53C40.

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