On entire rational maps of real surfaces

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2002-01-01

Author

Ozan, Yıldıray

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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 g(C)(X-0), and use this to prove the nonexistence of nonzero degree entire rational maps f : X-0 --> Y provided that g(C)(Y) > g(C)(X-0), analogously to the topological category. We construct connected real surfaces of arbitrary topological genus with zero complex genus.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/37911

Journal

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY

DOI

https://doi.org/10.4134/jkms.2002.39.1.077

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Department of Mathematics, Article

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Citation Formats

Y. Ozan, “On entire rational maps of real surfaces,” JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, pp. 77–89, 2002, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37911.