Nevanlinna Theory and Its Relation to Diophantine Approximation
Min Ru
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.
Topics & Concepts
Nevanlinna theoryMathematicsMeromorphic functionHolomorphic functionPure mathematicsConjectureDiophantine approximationRiemann surfaceIdentity theoremAbelian groupOpen mapping theorem (functional analysis)Number theoryDiophantine equationAlgebra over a fieldMathematical analysisBanach spaceEberlein–Šmulian theoremLp spaceMeromorphic and Entire Functions