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Modified Futaki invariant and equivariant Riemann-Roch formula

Wang, Feng; Zhou, Bin; Zhu, Xiaohua


In this paper, we give a new version of the modified Futaki invariant for a test configuration associated to the soliton action on a Fano manifold. Our version will naturally come from toric test configurations defined by Donaldson for toric manifolds. As an application, we show that the modified K-energy is proper for toric invariant Kähler potentials on a toric Fano manifold.

CollectionsANU Research Publications
Date published: 2016
Type: Journal article
Source: Advances in Mathematics
DOI: 10.1016/j.aim.2015.11.036


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