21 citations · 98 across the 31 of their papers we have counts for
4 papers · 1 filter
Linear Complete Differential Resultants and the Implicitization of Linear DPPEs
Sonia L. Rueda, J. Rafael Sendra
The linear complete differential resultant of a finite set of linear ordinary differential polynomials is defined. We study the computation by linear complete differential resultan…
Applications of Level Curves to Some Problems on Algebraic Surfaces
J. G. Alcazar, J. R. Sendra
In a previous work of the authors, a result to algorithmically compute the topology types of the level curves of an algebraic surface, is given. From this result, here we derive ap…
An Algebraic Analysis of Conchoids to Algebraic Curves
J. Rafael Sendra, Juana Sendra
We study conchoids to algebraic curve from the perspective of algebraic geometry, analyzing their main algebraic properties. We introduce the formal definition of conchoid of an al…
Generalizing circles over algebraic extensions
Tomas Recio, J. Rafael Sendra, Luis Felipe Tabera +1
This paper deals with a family of spatial rational curves that were introduced by Andradas, Recio and Sendra, under the name of hypercircles, as an algorithmic cornerstone tool in…