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arXiv · 2209.11434

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

Ji Guo·Julie Tzu-Yueh Wang
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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.

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Ji Guo, Julie Tzu-Yueh Wang. 2022-09-23. A complex case of Vojta's general abc conjecture and cases of Campana's orbifold conjecture. https://arxiv.org/abs/2209.11434

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