Arslan, Sefa Feza2016-01-082016-01-081994http://hdl.handle.net/11693/17599Ankara : The Department of Mathematics and the Institute of Engineering and Sciences of Bilkent University, c1994.Thesis (Master's) -- Bilkent University, 1994.Includes bibliographical references leaves 63-64In 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.viii, 64 leavesEnglishinfo:eu-repo/semantics/openAccessCurve branchsingularityblow upmultiplicity sequenceArf ringArf semigroupArf closureArf charactersFrobeniusQA649 .A77 1994Singularities (Mathematics)Multiplicity (Mathematics)Blowing up (Algebraic geometry)Local rings.Group rings.Thesis