The moduli of Certain Curves of Genus Three in Characteristic Two

Autores

  • Jaime E. A. Rodriguez UNESP Universidade Estadual Paulista J. M. Filho Departamento de Matem´atica
  • Oscar Paz la Torre Universidade Estadual do Norte Fluminense Darcy Ribeiro
  • Renato Vidal Martins Universidade Federal de Minas Gerais Departamento de Matem´atica

DOI:

https://doi.org/10.11606/issn.2316-9028.v3i1p13-24

Resumo

We study curves of genus 3 over algebraically closed fields of characteristic 2 with the canonical theta characteristic totally supported in one point. We compute the moduli dimension of such curves and focus on some of them which have two Weierstrass points with Weierstrass directions towards the support of the theta characteristic. We answer questions related to order sequence and Weierstrass weight of Weierstrass points.

Key words: curves of genus three, characteristic two, theta characteristic.

 

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Publicado

2009-06-30

Edição

v. 3 n. 1 (2009)

Seção

Artigos

Como Citar

The moduli of Certain Curves of Genus Three in Characteristic Two. (2009). São Paulo Journal of Mathematical Sciences, 3(1), 13-24. https://doi.org/10.11606/issn.2316-9028.v3i1p13-24