BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Implicitization of tensor product surfaces in the presence of a generic set of base-points Duarte, Eliana


A tensor product surface is the image of a map \(\lambda : \mathbb{P}^1\times \mathbb{P}^1 \rightarrow \mathbb{P}^3\), such surfaces arise in geometric modeling and in this context it is important to know their implicit equation. The goal for this talk is to explain how the implicitization problem for tensor product surfaces can be solved using syzygies and illustrate how the geometry of the base locus of \(\lambda\) determines the syzygies that are used to compute the implicit equation.

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