[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2002.39.1.077

ON ENTIRE RATIONAL MAPS OF REAL SURFACES

Ozan, Yildiray (Middle East Technical University Department of Mathematics)

Publication Information

Journal of the Korean Mathematical Society / v.39, no.1, 2002 , pp. 77-89 More about this Journal

Abstract

In this paper, we define for a component $X_{0}$ of a nonsingular compact real algebraic surface X the complex genus of $X_{0}$ , denoted by gc( $X_{0}$ ), and use this to prove the nonexistence of nonzero degree entire rational maps f : $X_{0}$ Y provided that gc(Y) > gc( $X_{0}$ ), 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;

Citations & Related Records

Times Cited By Web Of Science : 1 (Related Records In Web of Science)
Times Cited By SCOPUS : 1

Reference
Cited By SCOPUS

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