An algorithm for computing implicit equations of bigraded rational surfaces

摘要

In this article we show how to compute a matrix representation and theimplicit equation by means of the method developed in [Botbol:arXiv:1007.3437], using the computer algebra system Macaulay2 \cite{M2}. As itis probably the most interesting case from a practical point of view, werestrict our computations to parametrizations of bigraded surfaces. Thisimplementation allows to compute small examples for the better understanding ofthe theory developed in [Botbol: arXiv:1007.3437], and is a complement to thealgorithm [Botbol, Dohm: arXiv:1001.1126].