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arXiv · 1107.5262

Computing the Singularities of Rational Surfaces

S. Perez-Diaz·J. R. Sendra·C. Villarino
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Abstract

Given a rational projective parametrization $\cP(\ttt,\sss,\vvv)$ of a rational projective surface $\cS$ we present an algorithm such that, with the exception of a finite set (maybe empty) $\cB$ of projective base points of $\cP$, decomposes the projective parameter plane as $\projdos\setminus \cB=\cup_{k=1}^{\ell} \cSm_k$ such that if $(\ttt_0:\sss_0:\vvv_0)\in \cSm_k$ then $\cP(\ttt_0,\sss_0,\vvv_0)$ is a point of $\cS$ of multiplicity $k$.

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S. Perez-Diaz, J. R. Sendra, C. Villarino. 2011-07-26. Computing the Singularities of Rational Surfaces. https://doi.org/10.1090/s0025-5718-2014-02907-4

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