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math.CV2026
Vojta's abc conjecture for entire curves in toric varieties highly ramified over the boundary
Min Ru, Julie Tzu-Yueh Wang
We prove Vojta's abc conjecture for projective space , assuming that the entire curves in are highly ramified over the coordinate hyper…
math.CV2025
Campana's orbifold conjecture for numerically equivalent divisors
Min Ru, Julie Tzu-Yueh Wang
We prove the following version of the Campana's orbifold conjecture: Let be a complex non-singular projective variety of dimension . Let be -…
math.CV2024
Defect relation of components through the GCD method]
Min Ru, Julie Tzu-Yueh Wang
This paper studies the defect relation through the GCD method. In particular, among other results, we extend the defect relation result of Chen, Huynh, Sun and Xie to moving target…