HomeHome

Constant Scalar Curvature of Toric Fibrations

Thomas Nyberg

Title:
Constant Scalar Curvature of Toric Fibrations
Author(s):
Nyberg, Thomas
Thesis Advisor(s):
Phong, Duong Hong
Date:
Type:
Theses
Degree:
Ph.D., Columbia University
Department(s):
Mathematics
Persistent URL:
Abstract:
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.
Subject(s):
Mathematics
Item views
496
Metadata:
text | xml
Suggested Citation:
Thomas Nyberg, , Constant Scalar Curvature of Toric Fibrations, Columbia University Academic Commons, .

Columbia University Libraries | Policies | FAQ