Turkish Journal of Mathematics
Abstract
In this article, we study Hilbert series of non-Cohen-Maculay tangent cones for some 4-generated pseudosymmetric monomial curves. We show that the Hilbert function is nondecreasing by explicitly computing it. We also compute standard bases of these toric ideals.
DOI
10.55730/1300-0098.3389
Keywords
Hilbert function, tangent cone, monomial curve, numerical semigroup, standard bases
First Page
706
Last Page
720
Recommended Citation
ŞAHİN, N (2023). On the Hilbert series of the tangent cones for some 4-generated pseudosymmetric monomial curves. Turkish Journal of Mathematics 47 (2): 706-720. https://doi.org/10.55730/1300-0098.3389
