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arxiv: 0803.4095 · v1 · submitted 2008-03-28 · 🧮 math.AG · math.DG

K-stability of constant scalar curvature K\"ahler manifolds

classification 🧮 math.AG math.DG
keywords ahlerconstantcurvaturescalarautomorphismsdiscretedonaldsonk-semistability
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We show that a polarised manifold with a constant scalar curvature K\"ahler metric and discrete automorphisms is K-stable. This refines the K-semistability proved by S. K. Donaldson.

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