Simple singular irreducible plane sextics

buir.advisorDegtyarev, Alexander
dc.contributor.authorAkyol, Ayşegül
dc.date.accessioned2016-01-08T18:27:34Z
dc.date.available2016-01-08T18:27:34Z
dc.date.issued2013
dc.departmentDepartment of Mathematicsen_US
dc.descriptionAnkara : The Department of Mathematics and the Graduate School of Engineering and Science of Bilkent University, 2013.en_US
dc.descriptionThesis (Ph. D.) -- Bilkent University, 2013.en_US
dc.descriptionIncludes bibliographical references leaves 42-44.en_US
dc.description.abstractWe consider irreducible complex plane projective curves of degree six with simple singular points only and classify such curves up to equisingular deformation. (We concentrate on the so-called non-special curves, as the special ones are already known). We list all sets of singularities realized by such curves, discuss their relation to the maximizing sets (i.e., those of total Milnor number 19), and, for each set of singularities found, describe the connected components of the moduli space. We also discuss the question of the realizability of a given set of singularities by a real curve.en_US
dc.description.degreePh.D.en_US
dc.description.statementofresponsibilityAkyol, Ayşegülen_US
dc.format.extentviii, 44 leavesen_US
dc.identifier.urihttp://hdl.handle.net/11693/15969
dc.language.isoEnglishen_US
dc.publisherBilkent Universityen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectplane sexticen_US
dc.subjectsimple singularityen_US
dc.subject.lccQA567 .A592 2013en_US
dc.subject.lcshCurves, Sextic.en_US
dc.subject.lcshCurves, Plane.en_US
dc.subject.lcshSingularities (Mathematics)en_US
dc.titleSimple singular irreducible plane sexticsen_US
dc.typeThesisen_US
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