Implicitization of rational hypersurfaces by syzygies with respect to coefficient ideals

Falai Chen, Yunzhi Wang

We study rational hypersurfaces $\mathcal{S}$ defined as the closure of the image of a generically finite rational map $\varphi :\mathcal{X}\to {\mathbb{P}}^{n+1}$, where $\mathscr{…