Tangent Cones of Bresinsky and Arslan Curves
Commutative Algebra
2025-03-03 v1
Abstract
In this paper, we study the Apery tables for the numerical semigroups given by Bresinsky and Arslan. Using the Apery tables we write the tangent cones of the Bresinsky and Arsalan curves at the origin. Further, we calculate Hilbert series of the tangent cone of the Bresinsky and Arslan curves. We prove that both classes of the curve have Cohen- Macaulay tangent cone.
Cite
@article{arxiv.2502.20649,
title = {Tangent Cones of Bresinsky and Arslan Curves},
author = {Ranjana Mehta and Joydip Saha},
journal= {arXiv preprint arXiv:2502.20649},
year = {2025}
}
Comments
15 pages