K-STABILITY OF FANO MANIFOLDS WITH NOT SMALL ALPHA INVARIANTS
2017 ◽
Vol 18
(3)
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pp. 519-530
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Keyword(s):
We show that any $n$-dimensional Fano manifold $X$ with $\unicode[STIX]{x1D6FC}(X)=n/(n+1)$ and $n\geqslant 2$ is K-stable, where $\unicode[STIX]{x1D6FC}(X)$ is the alpha invariant of $X$ introduced by Tian. In particular, any such $X$ admits Kähler–Einstein metrics and the holomorphic automorphism group $\operatorname{Aut}(X)$ of $X$ is finite.
2010 ◽
Vol 147
(1)
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pp. 319-331
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Keyword(s):
2006 ◽
Vol 49
(10)
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pp. 1392-1404
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2018 ◽
Vol 275
(2)
◽
pp. 300-328
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Keyword(s):
1994 ◽
Vol 35
(7)
◽
pp. 3770-3770
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2019 ◽
Vol 2019
(751)
◽
pp. 27-89
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2016 ◽
Vol 36
(5)
◽
pp. 1358-1368
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