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Holomorphic Curves into Projective Varieties Intersecting Closed Subschemes in Subgeneral Position* |
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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 |
Page view: 619
Net amount: 738 |
Authors: |
Qingchun JI; Jun YAO;Guangsheng YU |
Foundation: |
National Natural Science Foundation of China (Nos. 12071081,12271275, 11801366) and LMNS (Fudan University). |
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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. |
Keywords: |
Nevanlinna theory, Second main theorem, Holomorphic curve, Subgeneral position, Closed subschemes, Schmidt’s subspace theorem |
Classification: |
32H30, 11J87, 11J97 |
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