On the structure of numerical sparse semigroups and applications to Weierstrass points
Algebraic Geometry
2014-10-14 v2
Abstract
In this work, we are concerned with the structure of sparse semigroups and some applications of them to Weierstrass points. We manage to describe, classify and find an upper bound for the genus of sparse semigroups. We also study the realization of some sparse semigroups as Weierstrass semigroups. The smoothness property of monomial curves associated to (hyper)ordinary semigroups presented by Pinkham and Rim-Vitulli, and the results on double covering of curves by Torres are crucial in this.
Keywords
Cite
@article{arxiv.1308.5844,
title = {On the structure of numerical sparse semigroups and applications to Weierstrass points},
author = {André Contiero and Carlos Gustavo T. A. Moreira and Paula M. Veloso},
journal= {arXiv preprint arXiv:1308.5844},
year = {2014}
}
Comments
to appear in Journal of Pure and Applied Algebra