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

Kento Fujita

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arXiv · 1508.04290

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

Kento Fujita

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Abstract

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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Kento Fujita. 2015-08-18. Examples of K-unstable Fano manifolds with the Picard number one. https://arxiv.org/abs/1508.04290

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