Holomorphic curves omitting five planes in projective space

نویسنده

  • Alexandre Eremenko
چکیده

In 1928 H. Cartan proved an extension of Montel’s normality criterion to holomorphic curves in complex projective plane P2. He also conjectured that a similar result is true for holomorphic curves in P for any n. Recently the author constructed a counterexample to this conjecture for any n ≥ 3. In this paper we show how to modify Cartan’s conjecture so that it becomes true, at least for n = 3.

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تاریخ انتشار 1999