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

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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.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Ningbo University, Ningbo, Zhejiang, 315211, China

    Guangsheng Yu

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  1. Guangsheng Yu
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Correspondence to Guangsheng Yu.

Additional information

This work was supported by the National Natural Science Foundation of China (No. 11801366).

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Yu, G. A Second Main Theorem of Nevanlinna Theory for Closed Subschemes in Subgeneral Position. Chin. Ann. Math. Ser. B 43, 567–584 (2022). https://doi.org/10.1007/s11401-022-0346-1

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  • DOI: https://doi.org/10.1007/s11401-022-0346-1

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