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- Title
4-generated pseudo symmetric monomial curves with not Cohen--Macaulay tangent cones.
- Authors
ŞAHİN, Nil
- Abstract
In this article, standard bases of some toric ideals associated to 4-generated pseudo symmetric semigroups with not Cohen-Macaulay tangent cones at the origin are computed. As the tangent cones are not Cohen-Macaulay, nondecreasingness of the Hilbert function of the local ring was not guaranteed. Therefore, using these standard bases, Hilbert functions are explicitly computed as a step towards the characterization of Hilbert function. In addition, when the smallest integer satisfying k(α2 +1) < (k - 1)α1 +(k + 1)α21 + α3 is 1, it is proved that the Hilbert function of the local ring is nondecreasing.
- Subjects
HILBERT functions; LOCAL rings (Algebra); CONES; CURVES; TORIC varieties
- Publication
Turkish Journal of Mathematics, 2020, Vol 44, Issue 6, p2174
- ISSN
1300-0098
- Publication type
Article
- DOI
10.3906/mat-1910-92