In this paper we show that a surface in P parametrized over a 2-dimensional toric variety T can be represented by a matrix of linear syzygies if the base points are finite in number and form locally… (More)

We develop in this paper methods for studying the implicitization problem for a rational map φ : Pn 99K (P) defining a hypersurface in (P), based on computing the determinant of a graded strand of a… (More)

This is an appendix for the article [BDD]. Here we show how to compute a matrix representation with the method developed in this paper, using the computer algebra system Macaulay2 [M2]. In the paper… (More)

We unveil in concrete terms the general machinery of the syzygybased algorithms for the implicitization of rational surfaces in terms of the monomials in the polynomials defining the parametrization,… (More)

We develop in this paper some methods for studying the implicitization problem for a rational map φ : Pn 99K (P1)n+1 defining a hypersurface in (P1)n+1, based on computing the determinant of a graded… (More)