Constant Scalar Curvature of Toric Fibrations
By: Thomas Nyberg
Publisher: [publisher not identified]
Published: 2014
Place of publication: [New York, N.Y.?]
Language: eng
Description: We study the conditions under which a fibration of toric varieties, fibered over a flag variety, admits a constant scalar curvature Kähler metric. We first provide an introduction to toric varieties and toric fibrations and derive the scalar curvature equation. Next we derive interior a priori estimates of all orders and a global L^∞-estimate for the scalar curvature equation. Finally we extend the theory of K-Stability to this setting and construct test-configurations for these spaces.
Notes: Department: Mathematics.

Thesis advisor: Duong Hong Phong.

Thesis (Ph.D.)--Columbia University, 2014.