2014 Theses Doctoral
Constant Scalar Curvature of Toric Fibrations
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.
Subjects
Files
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Nyberg_columbia_0054D_11960.pdf application/pdf 549 KB Download File
More About This Work
- Academic Units
- Mathematics
- Thesis Advisors
- Phong, Duong Hong
- Degree
- Ph.D., Columbia University
- Published Here
- July 7, 2014