A complex case of Vojta's general abc conjecture and cases of Campana's orbifold conjecture

2022/09/23 by Ji Guo, Julie Tzu‐Yueh Wang, Guo, Ji +1 · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2209.11434

openalex publication_date 2022/09/23 · openalex created_date 2022/09/27 · openalex updated_date 2026/07/28

Abstract

We proved a truncated second main theorem of level one with explicit exceptional sets for analytic maps into \mathbb P² intersecting the coordinate lines with sufficiently high multiplicities. As applications, we studied some cases of Campana's orbifold conjecture for \mathbb P² and finite ramified covers of \mathbb P² with three components admitting sufficiently large multiplicities.

Cited by

• Campana's orbifold conjecture for numerically equivalent divisors

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