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.

Singularities and K-semistability / Arezzo, Claudio; A., Della Vedova; G., La Nave. - In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES. - ISSN 1073-7928. - 2012:4(2012), pp. 849-869. [10.1093/imrn/rnr044]

Singularities and K-semistability

AREZZO, Claudio;
2012-01-01

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.
2012
Singularities and K-semistability / Arezzo, Claudio; A., Della Vedova; G., La Nave. - In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES. - ISSN 1073-7928. - 2012:4(2012), pp. 849-869. [10.1093/imrn/rnr044]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2437508
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