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Nevanlinna Theory and Its Relation to Diophantine Approximation
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Theorem of Faltings complex Hyperbolic Manifolds and Lang's Conjecture as mentioned in this paper is related to the moving target problems in the context of meromorphic functions.Abstract:
Nevanlinna Theory for Meromorphic Functions and Roth's Theorem Holomorphic Curves into Compact Riemann Surfaces and Theorems of Siegel, Roth, and Faltings Holomorphic Curves in Pn(C) and Schmidt's Sub-Space Theorem The Moving Target Problems Equi-Dimensional Nevanlinna Theory and Vojta's Conjecture Holomorphic Curves in Abelian Varieties and the Theorem of Faltings Complex Hyperbolic Manifolds and Lang's Conjecture.read more
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A Uniqueness Theorem of Meromorphic Maps and a Generalization of the Borel’s Lemma
TL;DR: In this paper, a generalization of the classical Borel's Lemma was proposed, and a uniqueness theorem for two linearly non-degenerate meromorphic maps of ℂm into ℙn(ℂ) (n ≥ 2) sharing 2n + 2 hyperplanes in general position is proved.
Journal ArticleDOI
An analogue of continued fractions in number theory for Nevanlinna theory
TL;DR: In this paper, an analogue of continued fractions in approximation to irrational numbers by rationals for Nevanlinna theory is presented, where the analogue is a sequence of points in the complex plane which approaches a given finite set of points and at a given rate.
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On Nevanlinna - Cartan theory for holomorphic curves with Tsuji characteristics
TL;DR: In this paper, the uniqueness problem of holomorphic curves in an angle instead of the whole complex plane was studied and a result for uniqueness problem by inverse image of a hypersurface was established.
Nevanlinna theory on complete K\"ahler manifolds with non-negative Ricci curvature
TL;DR: In this article , an equidistribution theory of meromorphic mappings from a complete K\"ahler manifold with non-negative Ricci curvature into a complex projective manifold intersecting normal crossing divisors was developed.