The versal Deformation of an isolated toric Gorenstein Singularity
Klaus Altmann
Abstract
Given a lattice polytope Q in Rn, we define an affine scheme M(Q) that reflects the possibilities of splitting Q into a Minkowski sum. On the other hand, Q induces a toric Gorenstein singularity Y, and we construct a flat family over M(Q) with Y as special fiber. In case Y has an isolated singularity only, this family is versal. (This revised version contains the proof now.)
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