Condições que caracterizam um conjunto tórico como variedade afim tórica

• Ano de defesa: 2019
• Autor(a) principal: Calixto, Rejiane Aparecida
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Uberlândia; Brasil; Programa de Pós-graduação em Matemática
• Palavras-chave em Português: Variedade tórica; Ideal tórico; Conjunto tórico; Toric variety; Toric ideal; Toric set; Matemática; Variedades tóricas; Bases de Gröbner; CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: https://repositorio.ufu.br/handle/123456789/24439; http://dx.doi.org/10.14393/ufu.di.2019.327

From a matrix A with certain characteristics, it is possible to define the toric ideal IA, which in turn gives rise to a toric variety V (IA). The columns of this matrix A, provide a parameterization of a subset of the toric variety, which is called the toric set. The purpose of this dissertation is to present a result that relates these two sets. More precisely, a result is shown which provides two sufficient and necessary conditions to determine when a toric set determined by a given matrix A, is equal to the toric variety determined by the same matrix. Besides, some aplications of this result are showen. The work still addresses some concepts like Gröbner Base and Finitely Generated Modules. Using the theory of Gröbner Bases one can prove some results regarding the set of generators of a toric ideal. The Modules theory, however, provides tools for proving the main result that makes up the purpose of the work.