Publications (13)
An Evertse-Ferretti Nevanlinna constant and its consequences
Min Ru, Paul Vojta
In this paper, we introduce the notion of an Evertse-Ferretti Nevanlinna constant and compare it with the birational Nevanlinna constant introduced by the authors in a recent joint…
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…
The Second Main Theorem in the hyperbolic case
Min Ru, Nessim Sibony
We develop Nevanlinna's theory for a class of holomorphic maps when the source is a disc. Such maps appear in the theory of foliations by Riemann Surfaces.
Integer solutions of a sequence of decomposable form inequalities
Kalman Gyory, Min Ru
In this paper, we prove the finiteness of the number of integer solutions of the decomposable form inequalities. We also study the number of integer solutions of a sequence of deco…
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…
A generalized subspace theorem for closed subschemes in subgeneral position
Yan He, Min Ru
In this paper, we extend the recent theorem of G. Heier and A. Levin [arXiv:1712.02456] on the generalization of Schmidt's subspace theorem and Cartan's Second Main Theorem in Neva…
A birational Nevanlinna constant and its consequences
Min Ru, Paul Vojta
The purpose of this paper is to modify the notion of the Nevanlinna constant , recently introduced by the first author, for an effective Cartier divisor on a…
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 -…
A non-integrated defect relation for holomorphic maps into algebraic varieties
Qili Cai, Min Ru, Chin-Jui Yang
In 1983, relating to the study of value distribution of the Guass maps of complete minimal surfaces in , H. Fujimoto introduced the notion of the non-integrated defect…
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…
Nevanlinna Pair and Algebraic Hyperbolicity
Yan He, Min Ru
We introduce the notion of the for a pair , where is a projective variety and is an effective Cartier divisor on . This notion links a…
On essentially large divisors
Gordon Heier, Min Ru
Motivated by the classical Theorems of Picard and Siegel and their generalizations, we define the notion of an {\it essentially large} effective divisor and derive some of its geom…
An estimate for the Gauss curvature of minimal surfaces in whose Gauss map omits a set of hyperplanes
Robert Osserman, Min Ru
We give an estimate of the Gauss curvature for minimal surfaces in whose Gauss map omits more than hyperplanes in .