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math.NT2021
Vojta's abc Conjecture for algebraic tori and applications over function fields
Ji Guo, Khoa D. Nguyen, Chia-Liang Sun +1
We prove Vojta's generalized abc conjecture for algebraic tori over function fields with exceptional sets that can be determined effectively. Additionally, we establish a version o…
math.CV2021
A truncated second main theorem for algebraic tori with moving targets and applications
Ji Guo, Chia-Liang Sun, Julie Tzu-Yueh Wang
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-Griffi…