Mathematics – Algebraic Geometry
Scientific paper
1995-01-17
Mathematics
Algebraic Geometry
43 pages, latex, 3 figures
Scientific paper
The general problem which initiated this work is: What are the quasiprojective varieties which can be uniformized by means of bounded domains in $\cz^n$ ? Such a variety should be, in particular, C--hyperbolic, i.e. it should have a Carath\'{e}odory hyperbolic covering. We study here the plane projective curves whose complements are C--hyperbolic. For instance, we show that most of the curves whose duals are nodal or, more generally, immersed curves, belong to this class.
Dethloff Gerd
Zaidenberg Mikhail
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