Dual complementar de Newton

• Autor(a) principal: Santos, Rodrigo Santana dos
• Data de Publicação: 2019
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Repositório Institucional da UFS
• Texto Completo: http://ri.ufs.br/jspui/handle/riufs/11087
• topic: Matemática; Álgebra; Geometria algébrica; Aplicações racionais; Álgebra de Rees; Dualidade de Newton; Aplicações de Jonquières; Rational applications; Algebra of Rees; Newton's duality; Jonquières applications; CIENCIAS EXATAS E DA TERRA::MATEMATICA

In this work we will study Newton complementary dual, a theory originated in the work of A. Simis and B. Costa, later simplified and improved in the work of A. Doria. In a first moment, we will give preliminary notions of Algebraic Geometry, Rational Applications and Rees Algebra, however, under the algebraic view. In the sequence we will discuss the main theme of the dissertation: the duality of Newton and its properties, which were developed having implicit a very important hypothesis, the canonical restrictions. Finally, we will establish some relations between the ideal of presentation of a rational application and its dual via a function, which is not a ring homomorphism, but we will also see that the dual applications of Jonquières are still applications of this type.