On certain curves of genus three in characteristic two

Artículos de revistas

Fecha

2008-03-01

Registro en:

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

Autor

Universidade Estadual Paulista (Unesp)

Univ Estadual Norte Fluminense Darcy Ribeiro

Universidade Federal de Minas Gerais (UFMG)

Institución

Universidade Estadual Paulista (Brasil)

Resumen

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.

Materias

curves of genus three

characteristic two

theta characteristic

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