Singularities and K-semistability

Details Singularities and K-semistability Singularities and K-semistability

2009-06-13

arxiv.org/abs/0906.2475v2

Mathematics

Differential Geometry

Major revision of previous upload. 18 pages

Scientific paper

In this paper we extend the notion of Futaki invariant to big and nef classes
in such a way that it defines a continuous function on the \K\ cone up to the
boundary. We apply this concept to prove that reduced normal crossing
singularities are sufficient to check $K$-semistability. A similar improvement
on Donaldson's lower bound for Calabi energy is given.

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