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arXiv · 1408.3784

Modified Futaki invariant and equivariant Riemann-Roch formula

Feng Wang·Bin Zhou·Xiaohua Zhu
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Abstract

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 K\"ahler potentials on a toric Fano manifold.

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Feng Wang, Bin Zhou, Xiaohua Zhu. 2014-08-17. Modified Futaki invariant and equivariant Riemann-Roch formula. https://arxiv.org/abs/1408.3784

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