Gorenstein and normal properties of the subregular variety of a variety of special lattices over Witt vectors

Mathematics – Algebraic Geometry

Scientific paper

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10 pages, modified introduction, corrected typos

Scientific paper

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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