A valuative criterion for uniform K-stability of $\mathbb{Q}$-Fano varieties

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arxiv 1602.00901 v2 pith:LAMW5NEY submitted 2016-02-02 math.AG

Kento Fujita This is my paper · ORCID

classification math.AG

keywords fanok-stabilitymathbbuniformvarietiesconditioncriteriongive

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abstract

We give a simple necessary and sufficient condition for uniform K-stability of $\mathbb{Q}$-Fano varieties.

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The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations
math.DG 2019-09 conditional novelty 7.0 of 10

For any Fano manifold, the Donaldson-Futaki invariant of its optimal degeneration is bounded below by -(1-R(X))/R(X) nV, where R(X) is the greatest Ricci lower bound.