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

Authors :
Guo, Ji
Wang, Julie Tzu-Yueh
Publication Year :
2022

Abstract

We proved a truncated second main theorem of level one with explicit exceptional sets for analytic maps into $\mathbb P^2$ intersecting the coordinate lines with sufficiently high multiplicities. As applications, we studied some cases of Campana's orbifold conjecture for $\mathbb P^2$ and finite ramified covers of $\mathbb P^2$ with three components admitting sufficiently large multiplicities.

Subjects

Subjects :
Mathematics - Complex Variables

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2209.11434
Document Type :
Working Paper