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

Citation:

.A Second Main Theorem of Nevanlinna Theory for Closed Subschemes in Subgeneral Position*[J].Chinese Annals of Mathematics B,2022,43(4):567~584
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Foundation:

National Natural Science Foundation of China (No. 11801366).
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

Classification:

32H30, 11J87, 11J97, 32Q45
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