منابع مشابه
Infinitesimal Adjunction and Polar Curves
The polar curves of foliations F having a curve C of separatrices generalize the classical polar curves associated to hamiltonian foliations of C. As in the classical theory, the equisingularity type ℘(F) of a generic polar curve depends on the analytical type of F , and hence of C. In this paper we find the equisingularity types ǫ(C) of C, that we call kind singularities, such that ℘(F) is com...
متن کاملArrangements, Milnor Fibers and Polar Curves
1. The main results Let A be a hyperplane arrangement in the complex projective space P n , with n > 0.
متن کاملEnriched Relative Polar Curves and Discriminants
Let (f, g) be a pair of complex analytic functions on a singular analytic space X. We give “the correct” definition of the relative polar curve of (f, g), and we give a very formal generalization of Lê’s attaching result, which relates the relative polar curve to the relative cohomology of the Milnor fiber modulo a hyperplane slice. We also give the technical arguments which allow one to work w...
متن کاملModelling of curves in polar and Cartesian coordinates
A new class of spline curves in polar coordinates has been presented in 12] and independently considered in 3]. These are rational trigonometric curves in Cartesian coordinates and can be represented as NURBS. From the relationship existing with the correspondent curves in Cartesian coordinates an alternative way to derive some useful tools for modelling splines in polar coordinates has been pr...
متن کاملDegree Elevation for Single-valued Curves in Polar Coordinates
A new class of single-valued curves in polar coordinates obtained by a transformation of a subset of rational B ezier curves into Cartesian coordinates has recently been presented in (SS anchez-Reyes, 1990), and independently considered by P.de Casteljau, who called these curves focal B ezier. These curves are trigonometric polynomials that can be represented by a basis similar to the Bernstein...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1996
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0129