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arxiv: math/0511487 · v3 · submitted 2005-11-21 · 🧮 math.AG

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

classification 🧮 math.AG
keywords varietygorensteinnormallatticesspecialsubregularvectorswitt
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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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