Yau-Tian-Donaldson correspondence for K-semistable Fano manifolds
arXiv:1302.6681
Abstract
In this note, using the recent compactness results of Tian and Chen-Donaldson-Sun, we prove the K-semistable version of Yau-Tian-Donaldson correspondence for Fano manifolds.
v5: accepted version. v4: 26 pages. A little update according to the feedback of referee. v3: 24 pages, more details are added upon referee's request. Also a section on examples are added. v2: 14 pages. A gap pointed out by Professor Robert Berman is fixed. References updated. Some typos corrected
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Cited by in corpus (7)
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- Minimizing normalized volumes of valuations
- Canonical Kahler metrics and Arithmetics -- Generalising Faltings heights
- Remarks on modified Ding functional for toric Fano manifolds
- Twisted and conical Kähler-Ricci soliton on Fano manifolds