Holomorphic Curves into Projective Varieties Intersecting Closed Subschemes in Subgeneral Position*

Citation:

Qingchun JI,Jun YAO,Guangsheng YU.Holomorphic Curves into Projective Varieties Intersecting Closed Subschemes in Subgeneral Position*[J].Chinese Annals of Mathematics B,2022,43(6):1023~1032
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Authors:

Qingchun JI; Jun YAO;Guangsheng YU

Foundation:

National Natural Science Foundation of China (Nos. 12071081,12271275, 11801366) and LMNS (Fudan University).
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.

Keywords:

Nevanlinna theory, Second main theorem, Holomorphic curve, Subgeneral position, Closed subschemes, Schmidt’s subspace theorem

Classification:

32H30, 11J87, 11J97
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