Curvas com modelos canônicos em scrolls

• Ano de defesa: 2014
• Autor(a) principal: Danielle Franco Nicolau Lara
• Tipo de documento: Tese
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Minas Gerais; UFMG
• Palavras-chave em Português: Curvas monomiais; Modelo canônico; Scroll; Curva não Gorenstein; Matemática; Geometria algebrica
• Link de acesso: http://hdl.handle.net/1843/EABA-9NRMQG

Let C be an integral and projective curve whose canonical model C lies on a rational normal scroll S of dimension n. We mainly study some properties on C, such as gonality and the kind of singularities, in the case where n = 2 and C is non-Gorenstein, and in the case where n = 3, the scroll S is smooth, and C is a set theoretic complete intersection inside S. We also prove that a rational monomial curve with just one singular point lies on a surface scroll iff its gonality is at most 3, and that it lies on a threefold scroll iff its gonality is at most 4.