Turkish Journal of Mathematics
DOI
10.3906/mat-1910-92
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(\alpha_2+1)
Keywords
Hilbert function, tangent cone, monomial curve, numerical semigroup, standard bases
First Page
2174
Last Page
2184
Recommended Citation
ŞAHİN, NİL
(2020)
"4-generated pseudo symmetric monomial curves with not Cohen-Macaulay tangent cones,"
Turkish Journal of Mathematics: Vol. 44:
No.
6, Article 16.
https://doi.org/10.3906/mat-1910-92
Available at:
https://journals.tubitak.gov.tr/math/vol44/iss6/16
