论文标题
复曲面双决定性品种
Toric double determinantal varieties
论文作者
论文摘要
在特殊情况下，我们检查了Li的双重决定性品种。我们通过更基本的论点从一般的双重决定性品种案例中恢复，它们是不可还原的，并表明感谢您的双重决定性确定性品种是光滑的。我们使用此框架为其尺寸提供直截了当的公式。最后，我们使用最小的非平凡的复曲面双重决定性品种来提供有关局部代数问题的经验证据。
We examine Li's double determinantal varieties in the special case that they are toric. We recover from the general double determinantal varieties case, via a more elementary argument, that they are irreducible and show that toric double determinantal varieties are smooth. We use this framework to give a straighforward formula for their dimension. Finally, we use the smallest nontrivial toric double determinantal variety to provide some empirical evidence concerning an open problem in local algebra.
