An Improved Defect Relation for Holomorphic Curves in Projective Varieties

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dc.contributor.advisorRu, Min
dc.contributor.committeeMemberHeier, Gordon
dc.contributor.committeeMemberJi, Shanyu
dc.contributor.committeeMemberFeng, Qianmei
dc.creatorMills, Charles David 1989-
dc.date.accessioned2019-09-14T17:00:07Z
dc.date.available2019-09-14T17:00:07Z
dc.date.createdMay 2017
dc.date.issued2017-05
dc.date.submittedMay 2017
dc.date.updated2019-09-14T17:00:07Z
dc.description.abstractIn 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.
dc.description.departmentMathematics, Department of
dc.format.digitalOriginborn digital
dc.format.mimetypeapplication/pdf
dc.identifier.citationPortions of this document appear in: C. Mills and M. Ru. An Improved Defect Relation for Holomorphic Curvesin Projective Varieties. Complex Analysis and Dynamical Systems VII, theIsrael Mathematics Conference Proceedings (IMCP), Contemporary Math-ematics (AMS)
dc.identifier.urihttps://hdl.handle.net/10657/4601
dc.language.isoeng
dc.rightsThe author of this work is the copyright owner. UH Libraries and the Texas Digital Library have their permission to store and provide access to this work. UH Libraries has secured permission to reproduce any and all previously published materials contained in the work. Further transmission, reproduction, or presentation of this work is prohibited except with permission of the author(s).
dc.subjectHolomorphic curves
dc.subjectProjective
dc.subjectVariety
dc.titleAn Improved Defect Relation for Holomorphic Curves in Projective Varieties
dc.type.dcmiText
dc.type.genreThesis
thesis.degree.collegeCollege of Natural Sciences and Mathematics
thesis.degree.departmentMathematics, Department of
thesis.degree.disciplineMathematics
thesis.degree.grantorUniversity of Houston
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy

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