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arXiv · 1109.3344

Negative deformations of toric singularities that are smooth in codimension two

Klaus Altmann·Lars Kastner
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Abstract

Given a polyhedral cone sigma with smooth two-dimensional faces and, moreover, a lattice point R in the dual cone of sigma, we describe the part of the versal deformation of the associated toric variety TV(sigma) that is built from the deformation parameters of multidegree R. Let Q the polyhedron obtained by intersecting sigma with the hyperplane R=1. Then the base space is (the germ of) an affine scheme that reflects certain possibilities of splitting Q into Minkowski summands.

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Klaus Altmann, Lars Kastner. 2011-09-15. Negative deformations of toric singularities that are smooth in codimension two. https://arxiv.org/abs/1109.3344

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