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Paper detail

Negative deformations of toric singularities that are smooth in codimension two

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.

preprint2011arXivOpen access
Klaus AltmannLars Kastner
math.AG
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Klaus AltmannLars Kastner

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