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arXiv · 2408.07210

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

Ta Thi Hoai An·William Cherry·Nguyen Viet Phuong
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Abstract

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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Ta Thi Hoai An, William Cherry, Nguyen Viet Phuong. 2024-08-13. A Non-Archimedean Second Main Theorem for Hypersurfaces in Subgeneral Position. https://arxiv.org/abs/2408.07210

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