Scalar Curvature and Stability of Toric Fibrations

Abstract

We study fibrations $\cV$ of toric varieties over the flag variety $G/T$, where $G$ is a compact semisimple Lie group and $T$ is a maximal torus. From symplectic data, we construct test configurations of $\cV$ and compute their Futaki invariants by employing a generalization of Pick's Theorem. We also give a simple form of the Mabuchi Functional.

23 pages, 1 figure

References in corpus (3)

• Interior estimates for solutions of Abreu's equation
• Kahler geometry on toric manifolds, and some other manifolds with large symmetry
• Lectures on Stability and Constant Scalar Curvature