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Speaker:
Giulio Codogn
Date:
Thu, 09/04/2015 - 10:30 - 12:00
Location:
MPIM Lecture Hall
Parent event:
Seminar Algebraic Geometry (SAG) 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. This is a joint work with Ruadhaí Dervan.
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