5 citations · 6 across the 6 of their papers we have counts for
7 papers
Divisibility of polynomials and degeneracy of integral points
Erwan Rousseau, Julie Tzu-Yueh Wang, Amos Turchet
We prove several statements about arithmetic hyperbolicity of certain blow-up varieties. As a corollary we obtain multiple examples of simply connected quasi-projective varieties t…
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…
The Ru-Vojta result for subvarieties
Min Ru, Julie Tzu-Yueh Wang
In their recent article, Min Ru and Paul Vojta, among other things, proved the so-called general theorem (arithmetic part) which can be viewed as an extension of Schmidt's subspace…
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…
Non-Archimedean analytic curves in the complements of hypersurface divisors
Ta Thi Hoai An, J. T. -Y. Wang, P. -M. Wong
We study the degeneration dimension of non-archimedean analytic maps into the complement of hypersurface divisors of smooth projective varieties. We also show that there exist no n…
Greatest common divisors of integral points of numerically equivalent divisors
Julie Tzu-Yueh Wang, Yu Yasufuku
We generalize the G.C.D. results of Corvaja--Zannier and Levin on to more general settings. More specifically, we analyze the height of a closed subscheme of codime…