14 citations · 32 across the 14 of their papers we have counts for
14 papers
Simply connectedness and hyperbolicity
Erwan Rousseau, Carlo Gasbarri, Amos Turchet +1
We generalize to arbitrary dimension our previous construction of simply connected weakly-special but not special varieties. We show that they satisfy the function field and comple…
A complex case of Vojta's general abc conjecture and cases of Campana's orbifold conjecture
Ji Guo, Julie Tzu-Yueh Wang
We proved a truncated second main theorem of level one with explicit exceptional sets for analytic maps into intersecting the coordinate lines with sufficiently high…
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…
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…
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…
Nonspecial varieties and Generalized Lang-Vojta conjectures
Erwan Rousseau, Amos Turchet, Julie Tzu-Yueh Wang
We construct a family of fibered threefolds such that has no étale cover that dominates a variety of general type but it dominates the orbifold of g…
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…
Greatest common divisors of analytic functions and Nevanlinna theory on algebraic tori
Aaron Levin, Julie Tzu-Yueh Wang
We study upper bounds for the counting function of common zeros of two meromorphic functions in various contexts. The proofs and results are inspired by recent work involving great…
Greatest common divisors with moving targets and consequences for linear recurrence sequences
Nathan Grieve, Julie Tzu-Yueh Wang
We establish consequences of the moving form of Schmidt's Subspace Theorem. Indeed, we obtain inequalities that bound the logarithmic greatest common divisor of moving multivariabl…
On the exponential local-global principle for meromorphic functions and algebraic functions
Hsiu-Lien Huang, Andreas Schweizer, Julie Tzu-Yueh Wang
We prove the rank one case of Skolem's Conjecture on the exponential local-global principle for algebraic functions and discuss its analog for meromorphic functions.
Algebraic Degeneracy of Non-Archimedean Analytic Maps
Ta Thi Hoai An, William Cherry, Julie Tzu-Yueh Wang
We prove non-Archimedean analogs of results of Noguchi and Winkelmann showing algebraic degeneracy of rigid analytic maps to projective varieties omitting an effective divisor with…