Q. Gashi: Normality and Quadraticity for Special Ample Line Bundles on Toric Varieties arising from Root Systems

posted Mar 15, 2012, 5:18 AM by Tony Shaska   [ updated Mar 17, 2012, 9:38 AM ]
We prove that special ample line bundles on toric varieties arising from root systems are projectively normal. Here the maximal cones of the fans correspond to the Weyl chambers, and special means that the bundle is torus-equivariant such that the character of the line bundle that corresponds to a maximal Weyl chamber is dominant with respect to that chamber. Moreover, we prove that the associated semigroup algebras are quadratic.

Joint work with Travis Schedler