English

On the multiplicity and regularity index of toric curves

Commutative Algebra 2022-02-02 v1

Abstract

In this note we revisit the problem of determining combinatorially the multiplicity at the origin of a toric curve. In addition, we give the exact value of the regularity index of that point for plane toric curves and effective bounds for this number for arbitrary toric curves.

Keywords

Cite

@article{arxiv.1909.05431,
  title  = {On the multiplicity and regularity index of toric curves},
  author = {Daniel Duarte and Alondra Ramírez Sandoval},
  journal= {arXiv preprint arXiv:1909.05431},
  year   = {2022}
}