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arXiv:1909.02452 [math.DG]AbstractReferencesReviewsResources

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

Ryosuke Takahashi

Published 2019-09-05Version 1

In this short paper, we establish a lower bound for the Donaldson-Futaki invariant of optimal degenerations produced by the K\"ahler-Ricci flow in terms of the greatest Ricci lower bound on arbitrary Fano manifolds. We discuss also the relation to the infimum of $H$-functional.

Comments: 10 pages
Categories: math.DG
Subjects: 53C55, 14L24
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