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Holomorphic curves omitting five planes in projective space
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 118, Number 6, December 1996
- pp. 1141-1151
- 10.1353/ajm.1996.0048
- Article
- Additional Information
In 1928 H. Cartan proved an extension of Montel's normality criterion to holomorphic curves in the complex projective plane P2. He also conjectured that a similar result is true for holomorphic curves in Pn 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.