Implicitization of de Jonquières parametrizations
Implicitization of de Jonquières parametrizations
One introduces a class of projective parameterizations that resemble generalized de~Jonqui\`eres maps. Any such parametrization defines a birational map $\mathfrak{F}$ of $\pp^n$ onto a hypersurface $V(F)\subset \pp^{n+1}$ with a strong handle to implicitization. From this side, the theory developed here extends recent work of Ben\'{\i}tez and D'Andrea on monoid parameterizations. …