Modified Futaki invariant and equivariant Riemann-Roch formula

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• 作者：Feng Wang^a ; ^{wfmath@zju.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Bin Zhou^b ; ^c ; ¹ ; ^{bzhou@pku.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Xiaohua Zhu^b ; ² ; ^{xhzhu@math.pku.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 53C25 ; secondary ; 53C55 ; 58J05 ; 19L10
• 刊名：Advances in Mathematics
• 出版年：2016
• 出版时间：5 February 2016
• 年：2016
• 卷：289
• 期：Complete
• 页码：1205-1235
• 全文大小：498 K

文摘

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.