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| A Second Main Theorem of Nevanlinna Theory for Closed Subschemes in Subgeneral Position* |
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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 |
| Page view： 610
Net amount： 543 |
Foundation： |
National Natural Science Foundation of China (No. 11801366). |
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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. |
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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