Toric varieties, higher duals and polytopes

A DICKENSTEIN

Berkeley

Conferencia; Colloquium Talk, Program on Commutative Algebra; 2012

Mathematical Sciences Research Institute

I will present joint work with several coauthors on the description of (higher) duals of (equivariantly embedded) toric varieties and the relation with the associated polytopes/lattice configurations. The interplay between algebraic geometry and combinatorics allows us to prove algebro-geometric statements with combinatorial tools and combinatorial statements with algebro-geometric tools.