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The versal Deformation of an isolated toric Gorenstein Singularity

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arxiv alg-geom/9403004 v2 pith:67A2NZYG submitted 1994-03-02 alg-geom math.AG

The versal Deformation of an isolated toric Gorenstein Singularity

classification alg-geom math.AG
keywords singularityfamilygorensteinisolatedtoricversalaffinecase
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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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    Dynamical complex structure deformations of non-compact Calabi-Yau threefolds with non-isolated singularities reproduce the full Higgs branch stratification of 5d SCFTs, matching magnetic quiver predictions.