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2014 / March Volume 9 No.1
K-Stability and Canonical Metrics on Toric Manifolds
Published Date
2014 / March
Title
K-Stability and Canonical Metrics on Toric Manifolds
Author
Xu-Jia Wang, Bin Zhou
Keyword
K-stability, canonical metric, complex manifold
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Pagination
85-110
Abstract
The $K$-stability is closely related to the existence of canonical metrics on K$\ddot{a}$hler manifolds and is an important issue in complex geometry. In this paper we discuss the $K$-stability on toric K$\ddot{a}$hler manifolds and present an unstable example of toric K$\ddot{a}$hler surface with eight $T^2_{\mathbb C}$-fixed points.
AMS Subject
Classification
32Q26, 32Q15
Received
2013-11-06
Accepted
2013-11-06
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