| dc.creator | Dervan, Ruadhai | |
| dc.date.accessioned | 2014-09-01 | |
| dc.date.accessioned | 2018-11-24T23:26:51Z | |
| dc.date.available | 2016-09-09T14:28:34Z | |
| dc.date.available | 2018-11-24T23:26:51Z | |
| dc.date.issued | 2014-09-26 | |
| dc.identifier | https://www.repository.cam.ac.uk/handle/1810/260098 | |
| dc.identifier.uri | http://repository.aust.edu.ng/xmlui/handle/123456789/3901 | |
| dc.description.abstract | We provide a sufficient condition for polarisations of Fano varieties to be K-stable in terms of Tian’s alpha invariant, which uses the log canonical threshold to measure singularities of divisors in the linear system associated to the polarisation. This generalises a result of Odaka-Sano in the anti-canonically polarised case, which is the algebraic counterpart of Tian’s analytic criterion implying the existence of a K¨ahler-Einstein metric. As an application, we give new K-stable polarisations of a general degree one del Pezzo surface. We also prove a corresponding result for log K-stability. | |
| dc.language | en | |
| dc.publisher | Oxford University Press | |
| dc.publisher | INTERNATIONAL MATHEMATICS RESEARCH NOTICES | |
| dc.title | Alpha Invariants and K-Stability for General Polarizations of Fano Varieties | |
| dc.type | Article | |
