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
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
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