On the Hilbert series of the tangent cones for some 4-generated pseudosymmetric monomial curves

Şahin, Nil2024-03-142024-03-142023-01-011300-0098https://hdl.handle.net/11693/114756In 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.enHilbert functionTangent coneMonomial curveNumerical semigroupStandard basesOn the Hilbert series of the tangent cones for some 4-generated pseudosymmetric monomial curvesArticle10.55730/1300-0098.33891303-6149