English

An algorithm for computing implicit equations of bigraded rational surfaces

Algebraic Geometry 2010-07-22 v1 Commutative Algebra

Abstract

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 \cite{M2}. 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].

Keywords

Cite

@article{arxiv.1007.3690,
  title  = {An algorithm for computing implicit equations of bigraded rational surfaces},
  author = {Nicolas Botbol},
  journal= {arXiv preprint arXiv:1007.3690},
  year   = {2010}
}

Comments

9 pages, 2 figures and Macaulay2 code

R2 v1 2026-06-21T15:51:03.182Z