1 citations · 2 across the 6 of their papers we have counts for
6 papers
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…
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…
On Pisot's -th root conjecture for function fields and related GCD estimates
Ji Guo, Chia-Liang Sun, Julie Tzu-Yueh Wang
We propose a function-field analog of Pisot's -th root conjecture on linear recurrences, and prove it under some "non-triviality" assumption. Besides a recent result of Pasten-W…
A Local-Global Equality on Every Affine Variety Admitting Points in an Arbitrary Rank-One Subgroup of a Global Function Field
Chia-Liang Sun
For every affine variety over a global function field, we show that the set of its points with coordinates in an arbitrary rank-one multiplicative subgroup of this function field i…
Solutions of a Linear Equation in a Subgroup of Units in a Function Field
Chia-Liang Sun
Over a large class of function fields, we show that the solutions of some linear equations in the topological closure of a certain subgroup of the group of units in the function fi…
Product of local points of subvarieties of almost isotrivial semi-abelian varieties over a global function field
Chia-Liang Sun
For a semi-abelian variety over a global function field which is isogenous to an isotrivial one, we show that on the product of local points of a subvariety satisfying a minor cond…