A Second Main Theorem of Nevanlinna Theory for Closed Subschemes in Subgeneral Position

Abstract

In this paper, by using Seshadri constants for subschemes, the author establishes a second main theorem of Nevanlinna theory for holomorphic curves intersecting closed subschemes in (weak) subgeneral position. As an application of his second main theorem, he obtain a Brody hyperbolicity result for the complement of nef effective divisors. He also give the corresponding Schmidt’s subspace theorem and arithmetic hyperbolicity result in Diophantine approximation.

Keywords

Second main theorem / In general position / Closed subscheme / Seshadri constant / Schmidt’s subspace theorem / Hyperbolicity

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