ON ENTIRE RATIONAL MAPS OF REAL SURFACES

Title & Authors
ON ENTIRE RATIONAL MAPS OF REAL SURFACES
Ozan, Yildiray;

Abstract
In this paper, we define for a component $\small{X_{0}}$ of a nonsingular compact real algebraic surface X the complex genus of $\small{X_{0}}$, denoted by gc($\small{X_{0}}$), and use this to prove the nonexistence of nonzero degree entire rational maps f : $\small{X_{0}}$ Y provided that gc(Y) > gc($\small{X_{0}}$), analogously to the topological category. We construct connected real surfaces of arbitrary topological genus with zero complex genus.
Keywords
real algebraic surfaces;algebraic homology;entire rational maps;
Language
English
Cited by
1.
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