Modified Futaki invariant and equivariant Riemann–Roch formula

Feng Wang,Bin Zhou,Xiaohua Zhu

doi:10.1016/j.aim.2015.11.036

Modified Futaki invariant and equivariant Riemann–Roch formula

Feng Wang, Bin Zhou + Show 1 more

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https://doi.org/10.1016/j.aim.2015.11.036

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Journal: Advances in Mathematics	Publication Date: Dec 17, 2015
Citations: 20	License type: publisher-specific-oa

Affiliation: Zhejiang University, Peking University, Australian National University

#Toric Fano Manifold #Fano Manifold + Show 4 more

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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 Kähler potentials on a toric Fano manifold.

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