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Extremal holomorphic curves for defect relations

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Abstract

Drasin’s theorem describing meromorphic functions of finite order with maximal sum of deficiencies is extended to holomorphic curves in projective space. A conjecture about holomorphic curves extremal for Cartan’s defect relation is discussed.

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Supported by NSF grant DMS-950036. This paper was written at the Norwegian Technology and Science University (NTNU, Trondheim), which the author thanks for its hospitality.

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Eremenko, A. Extremal holomorphic curves for defect relations. J. Anal. Math. 74, 307–323 (1998). https://doi.org/10.1007/BF02819454

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  • DOI: https://doi.org/10.1007/BF02819454

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