Displaying similar documents to “The last coefficient of the Samuel polynomial”

On a Special Class of Non Complete Webs

Julien Sebag (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

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In this article, we introduce a special class of non complete webs, the . We also study the algebraic and geometric properties of these webs.

On the Factorization of the Poincaré Polynomial: A Survey

Akyıldız, Ersan (2004)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 13P05, 14M15, 14M17, 14L30. Factorization is an important and very difficult problem in mathematics. Finding prime factors of a given positive integer n, or finding the roots of the polynomials in the complex plane are some of the important problems not only in algorithmic mathematics but also in cryptography.

Trajectories of polynomial vector fields and ascending chains of polynomial ideals

Dmitri Novikov, Sergei Yakovenko (1999)

Annales de l'institut Fourier

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We give an explicit upper bound for the number of isolated intersections between an integral curve of a polynomial vector field in ℝ n and an algebraic hypersurface. The answer is polynomial in the height (the magnitude of coefficients) of the equation and the size of the curve in the space-time, with the exponent depending only on the degree and the dimension. The problem turns out to be closely related to finding an explicit upper bound for the length of ascending chains...