Equations of Parametric Surfaces with Base Points via Syzygies

William Adkins, J. William Hoffman, Hao Hao Wang

Let $S$ be a parametric surface in $\proj{3}$ given as the image of $ϕ: \proj{1} \times \proj{1} \to \proj{3}$. This paper will show that the use of syzygies in the form of a combi…