On pseudo symmetric monomial curves |
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| Authors: | Mesut Şahin Nil Şahin |
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| Affiliation: | 1. Department of Mathematics, Hacettepe University, Ankara, Turkey;2. Department of Industrial Engineering, Bilkent University, Ankara, Turkey |
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| Abstract: | We study monomial curves, toric ideals and monomial algebras associated to 4-generated pseudo symmetric numerical semigroups. Namely, we determine indispensable binomials of these toric ideals, give a characterization for these monomial algebras to have strongly indispensable minimal graded free resolutions. We also characterize when the tangent cones of these monomial curves at the origin are Cohen–Macaulay. |
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| Keywords: | Free resolution Hilbert function indispensable binomial monomial curve numerical semigroup Rossi’s conjecture tangent cone |
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