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Algebraic Geometry

Topics in algebro-geometric stability

This is a follow-up to my course "Kaehler geometry" and is meant for those wishing to know more about (or possibly work on) the relations between stability notions for projective varieties and the existence of canonical metrics in Kaehler geometry. We will start with proving Donaldson's classical algebro-geometric lower bound for the Calabi functional and then proceed with the notion of K-stability, studying the space of test-configurations in some detail. Further topics will be decided taking into account the interests of the audience.

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