We derive the implicit equations for certain parametric surfaces in three-dimensional projective space termed tensor product surfaces. Our method computes the implicit equation for such a surface based on the knowledge of the syzygies of the base point locus of the parametrization by means of constructing an explicit virtual projective resolution.

中文翻译：

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通过虚拟投影分辨率隐含张量积表面

我们推导出了称为张量积曲面的三维投影空间中某些参数曲面的隐式方程。我们的方法通过构建显式虚拟投影分辨率，基于参数化基点轨迹的合子的知识计算这种表面的隐式方程。