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arxiv: 1508.04290 · v2 · pith:WEA4PXTInew · submitted 2015-08-18 · 🧮 math.AG · math.DG

Examples of K-unstable Fano manifolds with the Picard number one

classification 🧮 math.AG math.DG
keywords fivek-unstableconjecturedegreedimensiondisproveexamplesfano
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We show that the pair $(X, -K_X)$ is K-unstable for a del Pezzo manifold $X$ of degree five with dimension four or five. This disprove a conjecture of Odaka and Okada.

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