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 Kähler 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 the Calabi energy is given. © The Author(s) 2011
Arezzo, C., DELLA VEDOVA, A., La Nave, G. (2012). Singularities and K-semistability. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2012(4), 849-869 [10.1093/imrn/rnr044].
Singularities and K-semistability
DELLA VEDOVA, ALBERTO;
2012
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 Kähler 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 the Calabi energy is given. © The Author(s) 2011
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