On certain curves of genus three in characteristic two


Autoria(s): Rodriguez, Jaime E. A.; La Torre, Oscar Paz; Martins, Renato Vidal; Viana, Paulo Henrique
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

20/05/2014

20/05/2014

01/03/2008

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 and the existence of other Weierstrass points with similar properties.

Formato

137-155

Identificador

http://dx.doi.org/10.1007/s00574-008-0076-3

Bulletin of The Brazilian Mathematical Society. New York: Springer, v. 39, n. 1, p. 137-155, 2008.

1678-7544

http://hdl.handle.net/11449/10528

10.1007/s00574-008-0076-3

WOS:000254916200009

Idioma(s)

eng

Publicador

Springer

Relação

Bulletin of the Brazilian Mathematical Society

Direitos

closedAccess

Palavras-Chave #curves of genus three #characteristic two #theta characteristic
Tipo

info:eu-repo/semantics/article