Poincaré type Kähler metrics and stability on toric varieties

In this thesis we study the relationship between the existence of extremal Kähler metrics and stability. We introduce a space of symplectic potentials for toric manifolds, which we show gives metrics with mixed Poincaré type and cone angle singularities. We show uniqueness and that existence implies...

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Bibliographic Details
Main Author: Sektnan, Lars Martin
Other Authors: Donaldson, Simon
Published: Imperial College London 2016
Subjects:
515
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.700709