Singularities and K-semistability
Differential Geometry
2019-09-12 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.0906.2475,
title = {Singularities and K-semistability},
author = {C. Arezzo and A. Della Vedova and G. La Nave},
journal= {arXiv preprint arXiv:0906.2475},
year = {2019}
}
Comments
Major revision of previous upload. 18 pages