English

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

Algebraic Geometry 2008-03-31 v1 Differential Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.0803.4095,
  title  = {K-stability of constant scalar curvature K\"ahler manifolds},
  author = {Jacopo Stoppa},
  journal= {arXiv preprint arXiv:0803.4095},
  year   = {2008}
}

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14 pages