Torsion of the Symmetric Algebra and Implicitization

@inproceedings{Bus2009TorsionOT,
  title={Torsion of the Symmetric Algebra and Implicitization},
  author={Laurent Bus{\'e} and Marc Chardin and Jean-Pierre Jouanolou},
  year={2009}
}
Recently, a method to compute the implicit equation of a parame-trized hypersurface has been developed by the authors. We address here some questions related to this method. First, we prove that the degree estimate for the stabilization of the MacRae's invariant of Sym A (I)ν is optimal. Then, we show that the extraneous factor that may appear in the process splits into a product a linear forms in the algebraic closure of the base field, each linear form being associated to a non complete… CONTINUE READING

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