Geometria Algebrica Teses
Mostrando 1-3 de 3 artigos, teses e dissertações.
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1. Ideais iniciais genéricos
No presente trabalho, concentraremos nossa atenção no estudo do cálculo da dimensão de variedades algébricas afins, apresentando uma forma computacional para o seu cálculo utilizando as teorias de Bases de Gröebner e do polinômio afim de Hilbert. O propósito deste trabalho é definir ideal inicial genérico e destacar sua importância no cálculo da
Publicado em: 2011
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2. Bilhar de Poncelet
In Applications dAnalyse et de G´eom´etrie, 1862, Poncelet presents a work about pairs of conics holding an inscribe polygon at one and simultanealy circunscribe at another. He proves that when there exists a polygon satisfying this property,then there exist infinitely many polygons with the same number of edges satisfying its too. In this work we are inte
Publicado em: 2007
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3. Complexo quadrático de retas
On studying the Grassmanian of lines in projective space and Plücker s Quadric related to it, we noted the presence of interesting congurations of lines. From those congurations, a surface in projective space, the so called Kummer s surface, arrives. We analyze several properties of the Kummer s surface, among those, the fact that it has exactly 16 singular
Publicado em: 2007