CASSOU-NOGUES, Pierrette

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CASSOU-NOGUES, Pierrette
Institut de Mathématiques de Bordeaux [IMB]

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Chapitre d'ouvrage

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Affine algebraic geometry, Affine algebraic geometry. 2011p. 1-19

AMS, Providence, RI

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Inthispaper,wegivetheconstructionofaNewtontreeatinfinity of an algebraic curve. A byproduct of this construction is the explicit com- putation of rational maps (not morphisms) that convert a polynomial into an other polynomial. This is very useful to construct new polynomials such that bad field generators, polynomials with no singularities for example, and has been already used in [2], [3], [4], [6]. We end up the article showing that if two polynomials satisfy J(f,g) = 1 then there is no face parallel to the diagonal on their Newton polygon.< Leer menos

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Newton trees at infinity of algebraic curves

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