dc.creator | Codogni, Giulio | |
dc.creator | Dervan, Ruadhai | |
dc.date.accessioned | 2018-11-24T23:26:43Z | |
dc.date.available | 2016-04-20T09:48:38Z | |
dc.date.available | 2018-11-24T23:26:43Z | |
dc.date.issued | 2016-03-18 | |
dc.identifier | https://www.repository.cam.ac.uk/handle/1810/255056 | |
dc.identifier.uri | http://repository.aust.edu.ng/xmlui/handle/123456789/3870 | |
dc.description.abstract | We study the K-stability of a polarised variety with non-reductive automorphism group. We associate a canonical filtration of the co-ordinate ring to each variety of this kind, which destabilises the variety in several examples which we compute. We conjecture this holds in general. This is an algebro-geometric analogue of Matsushima’s theorem regarding the existence of constant scalar curvature Kähler metrics. As an application, we give an example of an orbifold del Pezzo surface without a Kähler-Einstein metric. | |
dc.language | en | |
dc.publisher | l'Institut Fourier | |
dc.publisher | Annales de l'Institut Fourier | |
dc.rights | http://creativecommons.org/licenses/by-nd/4.0/ | |
dc.rights | Attribution-NoDerivatives 4.0 International | |
dc.subject | K-stability | |
dc.subject | reductive groups | |
dc.subject | Kähler-Einstein metrics | |
dc.subject | radical filtration | |
dc.title | Non-reductive automorphism groups, the Loewy filtration and K-stability | |
dc.type | Article | |