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, Xiaohua Zhu^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1205-1235
Number of pages	31
Journal	Advances in Mathematics
Volume	289
DOIs	https://doi.org/10.1016/j.aim.2015.11.036
Publication status	Published - 5 Feb 2016

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10.1016/j.aim.2015.11.036

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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{\"a}hler potentials on a toric Fano manifold.",

keywords = "K{\"a}hler-Ricci solitons, Modified Futaki-invariant, Primary, Riemann-Roch formula, Secondary, Toric manifolds",

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AU - Zhu, Xiaohua

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AB - 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.

KW - Kähler-Ricci solitons

KW - Modified Futaki-invariant

KW - Primary

KW - Riemann-Roch formula

KW - Secondary

KW - Toric manifolds

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JO - Advances in Mathematics

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Modified Futaki invariant and equivariant Riemann-Roch formula

Abstract

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