Singularities and K-semistability
arXiv:0906.2475 · doi:10.1093/imrn/rnr044
Abstract
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 -semistability. A similar improvement on Donaldson's lower bound for Calabi energy is given.
Major revision of previous upload. 18 pages