11 citations · 42 across the 19 of their papers we have counts for
20 papers
The Hessian polynomial and the Jacobian ideal of a reduced hypersurface in
Laurent Busé, Alexandru Dimca, Hal Schenck +1
For a reduced hypersurface of degree , the Castelnuovo-Mumford regularity of the Milnor algebra is well understood when is smooth, as…
A non-iterative method for robustly computing the intersections between a line and a curve or surface
Xiao Xiao, Laurent Buse, Fehmi Cirak
The need to compute the intersections between a line and a high-order curve or surface arises in a large number of finite element applications. Such intersection problems are easy…
Freeness and invariants of rational plane curves
Laurent Busé, Alexandru Dimca, Gabriel Sticlaru
Given a parameterization of a rational plane curve C, we study some invariants of C via . We first focus on the characterization of rational cuspidal curves, in particular w…
Discriminants of complete intersection space curves
Laurent Busé, Ibrahim Nonkané
In this paper, we develop a new approach to the discrimi-nant of a complete intersection curve in the 3-dimensional projective space. By relying on the resultant theory, we first p…
Extraction of cylinders and cones from minimal point sets
Laurent Busé, André Galligo, Jiajun Zhang
We propose new algebraic methods for extracting cylinders and cones from minimal point sets, including oriented points. More precisely, we are interested in computing efficiently c…
Effective criteria for bigraded birational maps
Nicolás Botbol, Laurent Busé, Marc Chardin +3
In this paper, we consider rational maps whose source is a product of two subvarieties, each one being embedded in a projective space. Our main objective is to investigate biration…