Non-reductive automorphism groups, the Loewy filtration and K-stability

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• Giulio Codogni (Rome Tre)
• Wednesday 21 October 2015, 14:15-15:15
• CMS MR13.

If you have a question about this talk, please contact Dr. J Ross.

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 Kahler metrics. As an application, we give an example of an orbifold del Pezzo surface without a Kahler-Einstein metric. This is a joint work with Ruadhaí Dervan.

This talk is part of the Algebraic Geometry Seminar series.

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