On Arf rings

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buir.advisorSertöz, Sinan
dc.contributor.authorArslan, Sefa Feza
dc.date.accessioned2016-01-08T20:11:45Z
dc.date.available2016-01-08T20:11:45Z
dc.date.issued1994
dc.departmentDepartment of Mathematicsen_US
dc.descriptionAnkara : The Department of Mathematics and the Institute of Engineering and Sciences of Bilkent University, c1994.en_US
dc.descriptionThesis (Master's) -- Bilkent University, 1994.en_US
dc.descriptionIncludes bibliographical references leaves 63-64en_US
dc.description.abstractIn this thesis, we worked with curves which have cusp type singularities. We described the Arf theory, which solves the problem of understanding and finding the multiplicity sequence of a curve branch algebraically. We proposed an algorithm for finding the Arf characters of a given curve branch. We also faced the problem of Frobenius, and proposed an algorithm for the solution of problem of Frobenius in the most general case.en_US
dc.description.degreeM.S.en_US
dc.description.statementofresponsibilityArslan, Sefa Fezaen_US
dc.format.extentviii, 64 leavesen_US
dc.identifier.urihttp://hdl.handle.net/11693/17599
dc.language.isoEnglishen_US
dc.publisherBilkent Universityen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCurve branchen_US
dc.subjectsingularityen_US
dc.subjectblow upen_US
dc.subjectmultiplicity sequenceen_US
dc.subjectArf ringen_US
dc.subjectArf semigroupen_US
dc.subjectArf closureen_US
dc.subjectArf charactersen_US
dc.subjectFrobeniusen_US
dc.subject.lccQA649 .A77 1994en_US
dc.subject.lcshSingularities (Mathematics)en_US
dc.subject.lcshMultiplicity (Mathematics)en_US
dc.subject.lcshBlowing up (Algebraic geometry)en_US
dc.subject.lcshLocal rings.en_US
dc.subject.lcshGroup rings.en_US
dc.titleOn Arf ringsen_US
dc.typeThesisen_US

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