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Paper detail

Toric double determinantal varieties

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.

preprint2020arXivOpen access
Alexander BlosePatricia KleinOwen McGrathJackson Morris
math.AC
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Alexander BlosePatricia KleinOwen McGrathJackson Morris

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