A truncated second main theorem for algebraic tori with moving targets and applications

2021/03/30 by Ji Guo, Guo, Ji, Chia‐Liang Sun +3 · 2 citations
Mathematics · #11J97(Secondary) #30A70 #30D35 (Primary) #Advanced Differential Equations and Dynamical Systems #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2103.16087

openalex publication_date 2021/03/30 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

We establish a second main theorem for algebraic tori with slow growth moving targets with truncation to level 1. As the first application of this result, we prove the Green-Griffith-Lang conjecture for projective spaces with n+1 components in the context of moving targets of slow growth. Then we discuss the integrability of the ring of exponential polynomials in the ring of entire functions as another application.

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• A Second Main Theorem for Entire Curves Intersecting Three Conics
• Campana's orbifold conjecture for numerically equivalent divisors

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