Browsing by Author "Mills, Charles David 1989-"
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Item An Improved Defect Relation for Holomorphic Curves in Projective Varieties(2017-05) Mills, Charles David 1989-; Ru, Min; Heier, Gordon; Ji, Shanyu; Feng, QianmeiIn this dissertation we improve Min Ru's defect relation (as well as the Second Main Theorem) for holomorphic curves $f: {\Bbb C}\rightarrow X$ intersecting $D:=D_1+\cdots +D_q$, where $D$ is a divisor of equi-degree, and $D_1, \dots, D_q$ are big, nef, and have no components in common. Our results will decrease the number of divisors $D_i$ that $f$ is needed to omit in order to conclude that $f$ is degenerate. The corresponding arithmetic results are also obtained.