English

The versal Deformation of an isolated toric Gorenstein Singularity

alg-geom 2008-02-03 v2 Algebraic Geometry

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.)

Keywords

Cite

@article{arxiv.alg-geom/9403004,
  title  = {The versal Deformation of an isolated toric Gorenstein Singularity},
  author = {Klaus Altmann},
  journal= {arXiv preprint arXiv:alg-geom/9403004},
  year   = {2008}
}

Comments

42 pages, LaTeX