Matrix representations for toric parametrizations

@article{Botbol2009MatrixRF,
  title={Matrix representations for toric parametrizations},
  author={Nicol{\'a}s Botbol and A. Dickenstein and Marc Dohm},
  journal={Comput. Aided Geom. Des.},
  year={2009},
  volume={26},
  pages={757-771}
}
  • Nicolás Botbol, A. Dickenstein, Marc Dohm
  • Published 2009
  • Mathematics, Computer Science
  • Comput. Aided Geom. Des.
  • In this paper we show that a surface in P^3 parametrized over a 2-dimensional toric variety T can be represented by a matrix of linear syzygies if the base points are finite in number and form locally a complete intersection. This constitutes a direct generalization of the corresponding result over P^2 established in [Buse, L., Jouanolou, J.-P., 2003. J. Algebra 265 (1), 312-357] and [Buse, L., Chardin, M.J., 2005. Symbolic Comput. 40 (4-5), 1150-1168]. Exploiting the sparse structure of the… CONTINUE READING

    Topics from this paper.

    Syzygies and singularities of tensor product surfaces of bidegree (2, 1)
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    Tensor product surfaces and linear syzygies
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    Matrix-based implicit representations of algebraic curves and surfaces and applications
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    The surface/surface intersection problem by means of matrix based representations
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