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, NİL
(2023)
"On the Hilbert series of the tangent cones for some 4-generated pseudosymmetric monomial curves,"
Turkish Journal of Mathematics: Vol. 47:
No.
2, Article 21.
https://doi.org/10.55730/1300-0098.3389
Available at:
https://journals.tubitak.gov.tr/math/vol47/iss2/21
