Computing the Singularities of Rational Surfaces
arXiv:1107.5262 · doi:10.1090/S0025-5718-2014-02907-4
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 .
arXiv commentIn this new version, we only have changed the thanks. In particular, we have written: This work was developed, and partially supported, under the research project MTM2008-04699-C03-01 "Variedades paramétricas: algoritmos y aplicaciones", Ministerio de Ciencia e Innovación, Spain and by "Fondos Europeos de Desarrollo Regional" of the European Union