2010/07/21 by Nicolás Botbol, Botbol, Nicolas
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1007.3690
openalex publication_date 2010/07/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this article we show how to compute a matrix representation and the implicit equation by means of the method developed in [Botbol: arXiv:1007.3437], using the computer algebra system Macaulay2 \citeM2. As it is probably the most interesting case from a practical point of view, we restrict our computations to parametrizations of bigraded surfaces. This implementation allows to compute small examples for the better understanding of the theory developed in [Botbol: arXiv:1007.3437], and is a complement to the algorithm [Botbol, Dohm: arXiv:1001.1126].