Use este identificador para citar o ir al link de este elemento:
http://hdl.handle.net/1843/EABA-ARMLGG
Tipo: | Tese de Doutorado |
Título: | Subcanonical curves: on the loci of odd Weierstrass semigroups and the dimension of the loci for certain families of semigroups |
Autor(es): | Aislan Leal Fontes |
primer Tutor: | Andre Luis Contiero |
primer miembro del tribunal : | Alex Correa Abreu |
Segundo miembro del tribunal: | Marco Pacini |
Tercer miembro del tribunal: | Marco Boggi |
Cuarto miembro del tribunal: | Mauricio Barros Correa Junior |
Quinto miembro del tribunal: | Renato Vidal da Silva Martins |
Resumen: | x |
Abstract: | A celebrated result of KontsevichZorich ensures that the moduli space (...) of pointed curves of genus g whose marked point is subcanonical has three irreducible components. In this work we present an explicit method to construct a compactification of the loci which corresponds to a general point of an irreducible component of (...), namely the loci of pointed curves whose symmetric Weierstrass semigroup is odd. The construction is an extension of Stoehrs techniques using equivariant deformation of monomial curves given by Pinkham by exploring syzygies. As an application we prove the rationality of the loci for genus six. Byfixing a family of semigroups of multiplicity 6, we also compute the dimension of the moduli space of pointed curve whose Weierstrass semigroup at the marked point belogns to the fixed family. |
Asunto: | Matemática Curvas algébricas Weierstrass, pontos de |
Idioma: | Inglês |
Editor: | Universidade Federal de Minas Gerais |
Sigla da Institución: | UFMG |
Tipo de acceso: | Acesso Aberto |
URI: | http://hdl.handle.net/1843/EABA-ARMLGG |
Fecha del documento: | 15-sep-2017 |
Aparece en las colecciones: | Teses de Doutorado |
archivos asociados a este elemento:
archivo | Descripción | Tamaño | Formato | |
---|---|---|---|---|
tese_aislan.pdf | 682.77 kB | Adobe PDF | Visualizar/Abrir |
Los elementos en el repositorio están protegidos por copyright, con todos los derechos reservados, salvo cuando es indicado lo contrario.