A Non-Archimedean Second Main Theorem for Hypersurfaces in Subgeneral Position
Algebraic Geometry
2024-10-31 v2 Complex Variables
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.
Keywords
Cite
@article{arxiv.2408.07210,
title = {A Non-Archimedean Second Main Theorem for Hypersurfaces in Subgeneral Position},
author = {Ta Thi Hoai An and William Cherry and Nguyen Viet Phuong},
journal= {arXiv preprint arXiv:2408.07210},
year = {2024}
}
Comments
10 pages; Example 2 replaced, and Theorem 4 improved with suggestions from an anonymous referee