Gorenstein and normal properties of the subregular variety of a variety of special lattices over Witt vectors
Akira Sano
Abstract
We recall the projective variety parametrizing a family of special lattices over Witt vectors. It is normal and Gorenstein. In this article, we prove that there exists a particular set of subvarieties in it that are also normal and Gorenstein. The set contains the subregular variety.
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