A Second Main Theorem of Nevanlinna Theory for Meromorphic Functions on Complex Submanifolds in Cn |
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Authors: | Atsushi Atsuji |
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Affiliation: | (1) Keio University, 4-1-1, Hiyoshi, Yokohama 223-8521, Japan |
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Abstract: | We show a second main theorem of Nevalinna theory for meromorphic functions on complex submanifolds in C n . This has a similar form to the classical one and has a remainder term including Ricci curvature. We also give a concrete computation of the remainder term in the case of nonsingular algebraic submanifolds. Partially supported by the Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science. |
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Keywords: | Nevanlinna theory Minimal submanifold Holomorphic map Meromorphic function Brownian motion on manifolds |
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