June 2023 A note on the Yotsutani-Zhou condition for relative K-instability
Yasufumi Nitta, Shunsuke Saito
Author Affiliations +
Kodai Math. J. 46(2): 219-227 (June 2023). DOI: 10.2996/kmj46205

Abstract

Yotsutani and Zhou gave a sufficient condition for a toric Fano manifold to be relatively K-unstable. In this note, we present a simple obstruction to apply their condition.

Funding Statement

This work was supported by JSPS KAKENHI Grants JP21K03234 and JP20K14321.

Acknowledgment

The authors express deep gratitude to Prof. T. Mabuchi, who informed us the works [6] and [7]. This leads us to find the errors of [12].

Citation

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Yasufumi Nitta. Shunsuke Saito. "A note on the Yotsutani-Zhou condition for relative K-instability." Kodai Math. J. 46 (2) 219 - 227, June 2023. https://doi.org/10.2996/kmj46205

Information

Received: 23 January 2023; Revised: 31 January 2023; Published: June 2023
First available in Project Euclid: 29 June 2023

MathSciNet: MR4609442
zbMATH: 07714061
Digital Object Identifier: 10.2996/kmj46205

Subjects:
Primary: 14M25
Secondary: 14J45 , 53C55

Keywords: Fano manifold , relative K-stability , toric variety

Rights: Copyright © 2023 Tokyo Institute of Technology, Department of Mathematics

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Vol.46 • No. 2 • June 2023
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