Browsing by Author "Arslan, Sefa Feza"
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Monomial curves and the Cohen-Macaulayness of their tangent cones
Arslan, Sefa Feza (Bilkent University, 1999)In this thesis, we show that in affine /-space with / > 4, there are monomial curves with arbitrarily large minimal number of generators of the tangent cone and still having Cohen-Macaulay tangent cone. In order to prove ... -
On Arf rings
Arslan, Sefa Feza (Bilkent University, 1994)In 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 ...