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Master's Dissertation
DOI
https://doi.org/10.11606/D.55.2019.tde-09042019-085635
Document
Author
Full name
Marcelo Reicher Soares
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1989
Supervisor
Committee
Manzoli Neto, Oziride (President)
Brumatti, Paulo Roberto
Dias, Ires
Title in Portuguese
O TEOREMA DE BEZOUT, O TEOREMA FUNDAMENTAL DE MAX NOETHER E APLICAÇÕES
Keywords in Portuguese
Não disponível
Abstract in Portuguese
0 propósito deste trabalho e mostrar algumas aplicações de dois teoremas importantes quais sejam: Teorema de Bezout e Teorema Fundamental de Max Noether. Entre as aplicações, nos temos os Teoremas clássicos de Pascal e de Pappa. A estrutura (abeliana) de grupo numa cúbica é apresentada no ultimo capítulo. Nós seguimos o livro: Curvas Algebrica's, de W. Fulton, fazendo os detalhes necessários para o entendimento das mencionadas aplicações.
Title in English
The Bezout and the Fundamental of Max Noether theorems and applications
Keywords in English
Not available
Abstract in English
The purpose of this work is to show some applications of two important theorems, namely, Bezout's and Max Noether Fundamental Theorem. Among these applications we have the classical Pascal's Theorem and Pappa's Theorem. The (abelian) group structure on a cubic is present in the final chapter. We followed Fulton's book, Algebraic Curves, making the necessary details, to understand the above mentioned applications.
 
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Publishing Date
2019-04-09
 
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