On entire rational maps of real surfaces

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2002-01-01
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.
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY

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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.