Some Results on the Degeneracy of Entire Curves and Integral Points in the Complements of Divisors
Date
2016-12
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Abstract
In this dissertation, we first discuss some of the important results in Nevanlinna Theory and Diophantine Approximation Theory. Next, a result by the author and Min Ru \cite{LR} is presented. In chapter 3, we extend the Second Main Theorem to the case of holomorphic curves into algebraic varieties intersecting numerically equivalent ample divisors. In chapter 4, we improve Ru's defect relation (see \cite{ru15}) and the height inequality (see \cite{ru}) in the case when
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Keywords
Navenlinna Theory, Diophantine approximation, Holomorphic curves