The versal Deformation of an isolated toric Gorenstein Singularity

Details The versal Deformation of an isolated toric Gorenstein Singularity The versal Deformation of an isolated toric Gorenstein Singularity

1994-03-02

arxiv.org/abs/alg-geom/9403004v2

Mathematics

Algebraic Geometry

42 pages, LaTeX

Scientific paper

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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