@article{e5e2e4128d304275b09a4abf77be8945,
title = "Alpha invariants of birationally bi-rigid Fano 3-folds I",
abstract = "We compute global log canonical thresholds of certain birationally bi-rigid Fano 3-folds embedded in weighted projective spaces as complete intersections of codimension 2 and prove that they admit an orbifold K{\"a}hler–Einstein metric and are K-stable. As an application, we give examples of super-rigid affine Fano 4-folds.",
keywords = "Delta invariant, K-stability, Log del Pezzo surface",
author = "Kim, {In Kyun} and Takuzo Okada and Joonyeong Won",
note = "Funding Information: The first author was supported by the National Research Foundation of Korea (NRF-2020R1A2C4002510). The second author is partially supported by JSPS KAKENHI Grant Number JP18K03216. The third author was supported by the National Research Foundation of Korea (NRF-2020R1A2C1A01008018) and a KIAS Individual Grant (SP037003) via the Center for Mathematical Challenges at Korea Institute for Advanced Study. Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.",
year = "2021",
month = mar,
doi = "10.1007/s40879-020-00441-w",
language = "English",
volume = "7",
pages = "272--308",
journal = "European Journal of Mathematics",
issn = "2199-675X",
publisher = "Springer International Publishing AG",
number = "1",
}