On a General Form of the Second Main Theorem

1997/01/01 by Min Ru · 3 citations
Mathematics · #Meromorphic and Entire Functions #Algebraic Geometry and Number Theory #Holomorphic and Operator Theory

paper · pdf · doi:10.1090/s0002-9947-97-01913-2

Abstract

We give a proof of a general form of the Second Main Theorem for holomorphic curves with a good error term. Two applications of this general form are also provided.

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• An explicit estimate on multiplicity truncation in the second main theorem for holomorphic curves encountering hypersurfaces in general position in projective space
• On essentially large divisors
• On Nevanlinna - Cartan theory for holomorphic curves with Tsuji\n characteristics

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