Abstract
Let X be a projective manifold, ρ: X → X its universal covering and ρ*: V ect(X) → V ect( X ) the pullback map for the isomorphism classes of vector bundles. This article establishes a connection between the properties of the pullback map ρ* and the properties of the function theory on X . We prove the following pivotal result: if a universal cover of a projective variety has no nonconstant holomorphic functions then the pullback map ρ* is almost an imbedding.
Original language | English (US) |
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Pages (from-to) | 295-314 |
Number of pages | 20 |
Journal | Asian Journal of Mathematics |
Volume | 9 |
Issue number | 3 |
DOIs | |
State | Published - 2005 |
Keywords
- Holomorphic functions
- Projective varieties
- Universal coverings
- Vector bundles
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics