Non-reductive automorphism groups, the Loewy filtration and K-stability
Giulio Codogni (Rome) - Seminar Algebraische Geometrie (SAG)
What |
|
---|---|
When |
Apr 09, 2015 from 10:30 am to 11:30 am |
Where | Bonn, Hörsaal MPI, Vivatsgasse 7 |
Contact Name | sachinidis |
Add event to calendar |
vCal iCal |
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 K\"ahler metrics. As an application, we give an example of an orbifold del Pezzo surface without a K\"ahler-Einstein metric. This is a joint work with Ruadhaí Dervan.