5 citations · 8 across the 8 of their papers we have counts for
12 papers
The simplest minimal free resolutions in
Nicolás Botbol, Alicia Dickenstein, Hal Schenck
We study the minimal bigraded free resolution of an ideal with three generators of the same bidegree, contained in the bihomogeneous maximal ideal $ \langle s,t\rangle \cap \langle…
Fibers of multi-graded rational maps and orthogonal projection onto rational surfaces
Nicolás Botbol, Laurent Busé, Marc Chardin +1
We contribute a new algebraic method for computing the orthogonal projections of a point onto a rational algebraic surface embedded in the three dimensional projective space. This…
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…
Implicitization of rational hypersurfaces via linear syzygies: a practical overview
Nicolás Botbol, Alicia Dickenstein
We unveil in concrete terms the general machinery of the syzygy-based algorithms for the implicitization of rational surfaces in terms of the monomials in the polynomials defining…
Fitting ideals and multiple-points of surface parameterizations
Nicolás Botbol, Laurent Busé, Marc Chardin
Given a birational parameterization of an algebraic surface S in the projective space, the purpose of this paper is to investigate the sets of points on S whose preimage consists i…
Implicitization of rational maps
Nicolas Botbol
Motivated by the interest in computing explicit formulas for resultants and discriminants initiated by Bézout, Cayley and Sylvester in the eighteenth and nineteenth centuries, and…