次一般位置超曲面的非阿基米德第二主定理

arXiv - MATH - Complex Variables Pub Date : 2024-08-13 DOI:arxiv-2408.07210

Ta Thi Hoai An, William Cherry, Nguyen Viet Phuong

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引用次数: 0

摘要

我们应用列文的一个思想，得到了非阿基米德解析映射逼近代数超曲面非次要位置的非截断第二主定理。在某些情况下，例如当所有超曲面都不是非线性的，并且所有交点都是横向的时候，这改进了 Quang 的一个不等式。

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A Non-Archimedean Second Main Theorem for Hypersurfaces in Subgeneral Position

We apply an idea of Levin to obtain a non-truncated second main theorem for non-Archimedean analytic maps approximating algebraic hypersurfaces in subgeneral position. In some cases, for example when all the hypersurfaces are non-linear and all the intersections are transverse, this improves an inequality of Quang, whose inequality is sharp for the case of hyperplanes in subgeneral position.

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arXiv - MATH - Complex Variables

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