Timeline for Applications of Slope Stability
Current License: CC BY-SA 3.0
4 events
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| Jul 31, 2017 at 2:49 | comment | added | user21574 | Note that to check K-semistability it is sufficient to consider only test configurations that have smooth total space and central fibre that is a reduced simple normal divisor. This gives a connection between Mumford's semi-stable reduction theory and Kahler-Einstein geometry. See Arezzo et al paper. This result later refined by Chi Li et al as special test configuration | |
| Jul 23, 2017 at 16:38 | comment | added | user21574 | Moreover Tian with Ding showed that cubic surface in $\mathbb CP^3$ has a Kähler-Einstein orbifold metric only if it is semistable in the sense of Takemoto-Mumford. Ding, Wei Yue, Tian, Gang, Kähler-Einstein metrics and the generalized Futaki invariant. Invent. Math. 110 (1992), no. 2, 315–335. | |
| Jul 5, 2017 at 21:31 | history | edited | user21574 | CC BY-SA 3.0 |
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| Jul 5, 2017 at 21:25 | history | answered | user21574 | CC BY-SA 3.0 |