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arXiv 2212.01889math.CV
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关于任意闭子方案的广义 $p$-抛物 manifold 上第二主定理的一般形式

General form of second main theorem on generalized $p$-Parabolic manifolds for arbitrary closed subschemes

Hanoi National University of Education(河内国家教育大学)

Si Duc Quang

AI总结:

本文提出了一种针对任意闭子方案的广义 $p$-抛物 manifold 上全纯映射的第二主定理的推广形式,并给出了与超曲面相交时的计数函数截断水平的显式结果。

摘要:

通过引入一族闭子方案的分布常数概念,我们建立了从广义 $p$-抛物 manifold 到项目性概形的代数非退化全纯映射的第二主定理的一般形式,该定理适用于任意一族闭子方案。作为其结果,我们给出了这样的全纯映射与任意超曲面相交时,计数函数具有显式截断水平的第二主定理。

英文摘要:

By introducing the notion of distributive constant for a family of closed subschemes, we establish a general form of the second main theorem for algebraic nondegenerate meromorphic mappings from a generalized $p$-Parabolic manifold into a projective variety with arbitrary families of closed subschemes. As its consequence, we give a second main theorem for such meromorphic mappings intersecting arbitrary hypersurfaces with an explicitly truncation level for the counting functions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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