On entire rational maps of real surfaces


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Ozan Y.

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, cilt.39, ss.77-89, 2002 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 39 Konu: 1
  • Basım Tarihi: 2002
  • Doi Numarası: 10.4134/jkms.2002.39.1.077
  • Dergi Adı: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
  • Sayfa Sayıları: ss.77-89

Özet

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.