Browsing by Keywords "Monomial curves"
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Betti numbers for certain Cohen–Macaulay tangent cones (Cambridge University Press, 2019)We compute Betti numbers for a Cohen–Macaulay tangent cone of a monomial curve in the affine 4-space corresponding to a pseudo-symmetric numerical semigroup. As a byproduct, we also show that for these semigroups, being ...
Monomial curves and the Cohen-Macaulayness of their tangent cones (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 the minimal number of elements generating an algebraic set (Bilkent University, 2002)In this thesis we present studies on the general problem of finding the minimal number of elements generating an algebraic set in n-space both set and ideal theoretically.