Year: 2025
Type: article
Abstract: The first secant variety $\Sigma $ of a rational normal curve of degree $d \geq 3$ is known to be a $\textbf{Q}$-Fano threefold. In this paper, we prove that $\Sigma $ is K-polystable, and hence, $\Sigma $ admits a weak Kähler–Einstein metric. We also show that there exists a $(-K_{\Sigma })$-polar cylinder in $\Sigma $.
DOI: 10.1093/imrn/rnaf088
Authors: In-Kyun Kim, Jinhyung Park, Joonyeong Won
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6884601394