Test configurations and Geodesic rays
Differential Geometry
2007-07-30 v1 Algebraic Geometry
Abstract
For smooth test configurations, there always exist C^{1,1} geodesic rays in Kahler metric space parallel to the algebraic ray. The invariant agrees with Futaki invariant, at least under nice assumptions. Explicit examples in Toric cases are calculated. On simple test configurations, Donaldson's correspondence between HCMA solution and holomorphic disc family is extended.
Cite
@article{arxiv.0707.4149,
title = {Test configurations and Geodesic rays},
author = {Xiuxiong Chen and Yudong Tang},
journal= {arXiv preprint arXiv:0707.4149},
year = {2007}
}
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30 pages