Abstract:
Let X be an affine toric variety and R a primitive lattice element in the dual cone. We construct the versal deformation of X in degrees -kR, where k runs through natural numbers. Moreover, we define the so called lattice friendly Minkowski decomposition of a polyhedron, which is a generalisation of the usual Minkowski decomposition of a lattice polytope, and show the relation between this decompositions and components of the reduced versal base space. This is a joint work with Klaus Altmann and Alexandru Constantinescu.