Geometry of varieties of lattices over Witt vectors
-- Akira Sano

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In a recent work, Haboush
considers a mixed characteristic analog of an affine
Grassmannian for G = SL_n
over the algebraic closure k of F_p.  It is an inductive limit of finite
dimensional (singular) projective varieties parametrizing certain lattices over
Witt vectors W(k).  We establish that each lattice variety is normal and
Gorenstein using the complete intersection property of a covering variety in an
affine space.