The Second Main Theorem For Holomorphic Mappings Sharing Moving Targets

The Second Main Theorem plays an important role in Nevanlinna Value Distribution Theory,which is used for solving the many problems of complex differential equations and differences equations.What's more,the Second Main Theorem can be used to estimate the existence of the equations and proved the uniqueness theorem.Therefore,the form and error term of Second Main Theorem is significant.We arrange this thesis as follows.In chapter one.We introduce research backgrounds and main works of this thesis.In chapter two.We introduce the basic knowledge of the Nevanlinna theory and using relevant knowledge in this thesis.In chapter three.We successfully extend results of second main theorem for sharing moving hyperplanes in u-subgenerate position on ? to results of second main theorem for sharing moving hyperplanes in u-subgenerate position on annuli.In chapter four.We obtain the second main theorem for holomorphic curves on an angular domain intersecting moving hyperplanes targets.In chapter five.We extend the results of in chapter four to algebraic varieties.We obtain the second main theorem for holomorphic curves on an angular domain into algebraic varieties intersecting moving hypersurfaces targets.