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The versal Deformation of an isolated toric Gorenstein Singularity

Klaus Altmann
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Abstract

Given a lattice polytope Q in R^n, 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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Klaus Altmann. 1994-05-17. The versal Deformation of an isolated toric Gorenstein Singularity. https://arxiv.org/abs/alg-geom/9403004

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