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Holomorphic Curves into Projective Varieties Intersecting Closed Subschemes in Subgeneral Position

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Abstract

In this paper, the authors introduce the index of subgeneral position for closed subschemes and obtain a second main theorems based on this notion. They also give the corresponding Schmidt’s subspace type theorem via the analogue between Nevanlinna theory and Diophantine approximation.

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Author information

Authors and Affiliations

  1. School of Mathematical Sciences and Shanghai Center for Mathematical Sciences, Fudan University, Shanghai, 200433, China

    Qingchun Ji

  2. School of Mathematical Sciences, Fudan University, Shanghai, 200433, China

    Jun Yao

  3. School of Mathematics and Statistics, Ningbo University, Ningbo, 315211, China

    Guangsheng Yu

Authors
  1. Qingchun Ji
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  2. Jun Yao
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  3. Guangsheng Yu
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Corresponding authors

Correspondence to Qingchun Ji, Jun Yao or Guangsheng Yu.

Additional information

This work was supported by the National Natural Science Foundation of China (Nos. 12071081, 12271275, 11801366) and LMNS (Fudan University).

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Ji, Q., Yao, J. & Yu, G. Holomorphic Curves into Projective Varieties Intersecting Closed Subschemes in Subgeneral Position. Chin. Ann. Math. Ser. B 43, 1023–1032 (2022). https://doi.org/10.1007/s11401-022-0375-9

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  • DOI: https://doi.org/10.1007/s11401-022-0375-9

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