Abstract
In this note we will give theorems on the set of deficient divisors of an entire holomorphic curve f : C → M, where M is a projective algebraic manifold. We first give an inequality of second main theorem type and a defect relation for f that improve the results in Aihara (Tohoku Math J 58:287–315, 2012). By making use of the defect relation, we give theorems on the structure of the set of deficient divisors of f. We also have structure theorems for a family of linear systems of the set of deficient divisors.
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References
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Aihara, Y. (2019). Holomorphic Curves and Linear Systems in Algebraic Manifolds. In: Lindahl, K., Lindström, T., Rodino, L., Toft, J., Wahlberg, P. (eds) Analysis, Probability, Applications, and Computation. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-04459-6_49
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DOI: https://doi.org/10.1007/978-3-030-04459-6_49
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