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The versal deformation of an isolated toric Gorenstein singularity

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Abstract

Given a lattice polytope Q ⊆ ℝn, we define an affine scheme

that reflects the possibilities of splitting Q into a Minkowski sum. Denoting by Y the toric Gorenstein singularity induced by Q, we construct a flat family over

with Y as special fiber. In case Y has an isolated singularity, this family is versal.

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Authors and Affiliations

  1. Institut für Reine Mathematik, Humboldt-Universität zu Berlin, Ziegelstr. 13A, D-10099, Berlin, Germany

    Klaus Altmann

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  1. Klaus Altmann
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Correspondence to Klaus Altmann.

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Oblatum 9-V-1996 ⇐p; 30-IX-1996

This paper was written at M.I.T. and supported by a DAAD-fellowship

This article was processed by the author using the LATEX style file pljour 1m from Springer-Verlag.

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Altmann, K. The versal deformation of an isolated toric Gorenstein singularity. Invent. math. 128, 443–479 (1997). https://doi.org/10.1007/s002220050148

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