The Kähler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations

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Abstract

We establish a lower bound for the Donaldson-Futaki invariant of optimal degenerations produced by the Kähler-Ricci flow in terms of the greatest Ricci lower bound on arbitrary Fano manifolds. As an application, we can generalize the finiteness of the Futaki invariants on Kähler-Ricci solitons obtained by Guo-Phong-Song-Sturm to the space of all Fano manifolds. Also, we discuss the relation to Hisamoto’s inequality for the infimum of the Hfunctional.

Original languageEnglish
Pages (from-to)3527-3536
Number of pages10
JournalProceedings of the American Mathematical Society
Volume148
Issue number8
DOIs
Publication statusPublished - Aug 2020
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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