Fano Varieties and Extremal Laurent Polynomials

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

Altmann_London_Sep_2010

Summary:

• 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