English

On Weierstrass gaps at several points

Algebraic Geometry 2018-03-26 v1

Abstract

We consider the problem of determining Weierstrass gaps and pure Weierstrass gaps at several points. Using the notion of relative maximality in generalized Weierstrass semigroups due to Delgado \cite{D}, we present a description of these elements which generalizes the approach of Homma and Kim \cite{HK} given for pairs. Through this description, we study the gaps and pure gaps at several points on a certain family of curves with separated variables.

Cite

@article{arxiv.1803.08752,
  title  = {On Weierstrass gaps at several points},
  author = {Wanderson Tenório and Guilherme Tizziotti},
  journal= {arXiv preprint arXiv:1803.08752},
  year   = {2018}
}
R2 v1 2026-06-23T01:02:53.960Z