An algorithm for computing implicit equations of bigraded rational surfaces

Details An algorithm for computing implicit equations of bigraded rational surfaces An algorithm for computing implicit equations of bigraded rational surfaces

2010-07-21

arxiv.org/abs/1007.3690v1

Mathematics

Algebraic Geometry

9 pages, 2 figures and Macaulay2 code

Scientific paper

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].

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