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Gonalidade e Modelos Canônicos de Curvas Racionais Unicuspidais
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE MATEMÁTICAPrograma de Pós-Graduação em MatemáticaUFMG, 2021-07-29)
The main goal of this work is the study of the gonality of a curve C. First, in the case where C is not isomorphic to its canonical model C", or equivalently, its dualizing sheaf is just torsion free. This is the case said ...
Sobre gonalidade, modelos canônicos e scrolls
(Universidade Federal de Minas GeraisUFMG, 2017-10-27)
Let C be an integral and projective curve; and let C' be its canonical model. We study the relation between the gonality of C and the dimension of a rational normal scroll S where C' can lie on. We are mainly interested ...
Gonalidade e o Teorema de Max Noether para Curvas Não-Gorenstein
(Universidade Federal de Minas GeraisUFMG, 2013-08-14)
The gonality of a curve C is the smallest integer d such that there exists a linear system of degree d and dimension 1 in C, possibly admitting non-removable base points. We show that the gonality of a non-Gorenstein curve ...
Curvas racionais com singularidades hiperelíticas
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE MATEMÁTICAPrograma de Pós-Graduação em MatemáticaUFMG, 2020-07-31)
In this work we study singular rational curves in projective space, deducing conditions
on their parameterizations from the value semigroups of their singularities. Here we focus
on rational curves with cusps whose ...
Códigos de Goppa e Distâncias Generalizadas de HammingGoppa Codes and Generalized Hamming Weights
(Universidade Federal de UberlândiaBRPrograma de Pós-graduação em MatemáticaCiências Exatas e da TerraUFU, 2016)