Complex classification of singularities of reducible septic curves

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dc.contributor.committeeChairWeinberg, David A.
dc.contributor.committeeMemberLee, Jeffrey A.
dc.contributor.committeeMemberGelca, Razvan
dc.creatorGonzalez, Elias
dc.date.accessioned2016-06-27T22:11:24Z
dc.date.available2016-06-27T22:11:24Z
dc.date.created2016-05
dc.date.issued2016-05
dc.date.submittedMay 2016
dc.date.updated2016-06-27T22:11:24Z
dc.description.abstractThere are 163 types of quadruple points, 139 types of quintuple points, and 25 types of sextuple points for complex reducible septic curves. 20 types of double points and 69 types of triple points are constructed for complex reducible septic curves. Thus, 417 types of singularities are exhibited.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/2346/67121
dc.language.isoeng
dc.rights.availabilityUnrestricted.
dc.subjectAlgebraic geometry
dc.subjectSingularity theory
dc.subjectPuiseux expansion
dc.subjectPuiseux theorem
dc.subjectNewton polygon
dc.subjectClassification
dc.titleComplex classification of singularities of reducible septic curves
dc.typeThesis
dc.type.materialtext
thesis.degree.departmentMathematics and Statistics
thesis.degree.disciplineMathematics
thesis.degree.grantorTexas Tech University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy

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