A conjectura de Gauss e os corpos de classes de Hilbert

• Ano de defesa: 2014
• Autor(a) principal: Coelho, Robério Alexandre
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Palavras-chave em Português: Corpos quadráticos; Discriminantes; Grupos de classes (Matemática); Corpos de classes de Hilbert; Quadratic fields; Discriminants; Class groups (Mathematics); Class fields of Hilbert
• Link de acesso: http://www.repositorio.ufc.br/handle/riufc/45325

The main work proposal is based on Article On the Class Number of Hilbert Class Fields author Farshid Hajir. This requires some preliminary notions of the Theory of Algebraic Numbers are available at the beginning of the work. The discussion is to present an alternative way to study the problem still remains open on the existence of infinite real quadratic bodies with class number equal to 1, known as the Second Conjecture Gauss. Through the study of Hilbert Class Bodies get some results related to this conjecture. We will also comment on the particular result published by Heegner-Stark-Baker, who was the first advance made to the Issue Number Gauss class.