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

2024/08/13 by Ta Thi Hoai An, An, Ta Thi Hoai, William B. Cherry +3
Mathematics · #30G06 #Algebraic Geometry (math.AG) #Algebraic and Geometric Analysis #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2408.07210

openalex publication_date 2024/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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