Abstract
In this paper, we prove in details that any polarized K-stable manifold is CM-stable. This extends what I did for Fano manifolds in my 2012 paper. Our proof is based on an asymptotic formula for the K-energy and S. Paul’s works ([Pa08], [Pa12], [Pa13]) on the K-stability in terms of stable pairs.
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APA
Tian, G. (2017). K-stability implies CM-stability. In Progress in Mathematics (Vol. 310, pp. 245–261). Springer Basel. https://doi.org/10.1007/978-3-319-49638-2_11
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