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arXiv · 0906.2475

Singularities and K-semistability

C. Arezzo·A. Della Vedova·G. La Nave
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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 $K$-semistability. A similar improvement on Donaldson's lower bound for Calabi energy is given.

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C. Arezzo, A. Della Vedova, G. La Nave. 2010-10-13. Singularities and K-semistability. https://doi.org/10.1093/imrn%2Frnr044

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