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Examples of K-Unstable Fano Manifolds with the Picard Number 1

Part of: Algebraic groups Surfaces and higher-dimensional varieties

Published online by Cambridge University Press:  09 January 2017

Kento Fujita
Kento Fujita*
Affiliation:
Department of Mathematics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan
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Abstract

We show that the pair (X, –KX) is K-unstable for a del Pezzo manifold X of degree 5 with dimension 4 or 5. This disproves a conjecture of Odaka and Okada.

Keywords

Fano varietiesK-stabilityKähler–Einstein metrics

MSC classification

Secondary: 14J45: Fano varieties 14L24: Geometric invariant theory
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 60 , Issue 4 , November 2017 , pp. 881 - 891
Copyright
Copyright © Edinburgh Mathematical Society 2017 

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