The identification of partially observed continuous nonlinear systems from noisy and
incomplete data series is an actual problem in many branches of science, for example …

Isolated singularities typically occur at self-intersection points of planar algebraic curves,
curve offsets, intersections between spatial curves and surfaces, and so on. The information …

Resultants and Gr\" obner bases are crucial tools in studying polynomial elimination theory.
We investigate relations between the variety of the resultant of two polynomials and the …

In this report we investigate possible ways of generating the elimination ideal using the set
of Sylvester resultants of pairs of all polynomials in a given basis for the ideal. We …

The dual space of a primary ideal associated to an isolated point is a topic of study which
appears in several occasions in symbolic computation. In the present work we elaborate on …