K. Altmann: “Deformations of Gorenstein Canonical Toric Singularities”

Here are my notes from Altmann’s talk at the Extremal Laurent Polynomials workshop at Imperial:



  • an example due to Pinkham
  • deformations and Minkoski sums; a lattice condition
  • constructing the deformation corresponding to a Minkwoski decomposition
  • the versal deformation space and the moduli space of generalized Minkowski summands of Q
  • Example: the cone over a hexagon
  • the equations defining the versal deformation space in the isolated Gorenstein case
  • a new point of view: double divisors

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