Displaying similar documents to “Trajectories of polynomial vector fields and ascending chains of polynomial ideals”

Meandering of trajectories of polynomial vector fields in the affine n-space.

Dimitri Novikov, Sergei Yakovenko (1997)

Publicacions Matemàtiques

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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 Rn and an affine hyperplane. The problem turns out to be closely related to finding an explicit upper bound for the length of ascending chains of polynomial ideals spanned by consecutive derivatives. This exposition constitutes an extended abstract of a forthcoming paper: only the basic steps are outlined here,...

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.

Multidimensional residues and ideal membership.

Alessandro Perotti (1998)

Publicacions Matemàtiques

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Let I(f) be a zero-dimensional ideal in C[z1, ..., zn] defined by a mapping f. We compute the logarithmic residue of a polynomial g with respect to f. We adapt an idea introduced by Aizenberg to reduce the computation to a special case by means of a limiting process. We then consider the total sum of local residues of g w.r.t. f. If the zeroes of f are simple, this sum can be computed from a finite number of logarithmic residues. In...