@article{ee6f4a25d84b463392e2285e1cdc25bf,
title = "On K-stability of some del Pezzo surfaces of Fano index 2",
abstract = "For every integer (Formula presented.), we relate the K-stability of hypersurfaces in the weighted projective space (Formula presented.) of degree (Formula presented.) with the GIT stability of binary forms of degree (Formula presented.). Moreover, we prove that such a hypersurface is K-polystable and not K-stable if it is quasi-smooth.",
author = "Yuchen Liu and Andrea Petracci",
note = "Funding Information: The second author wishes to thank Anne‐Sophie Kaloghiros for many fruitful conversations and Yuji Odaka for helpful e‐mail exchanges; he is grateful also to Ivan Cheltsov and Jihun Park for useful remarks on an earlier draft of this manuscript and for sharing a preliminary version of [ 27 ]. The first author is partially supported by the NSF grant DMS‐2148266. Funding Information: The second author wishes to thank Anne-Sophie Kaloghiros for many fruitful conversations and Yuji Odaka for helpful e-mail exchanges; he is grateful also to Ivan Cheltsov and Jihun Park for useful remarks on an earlier draft of this manuscript and for sharing a preliminary version of [27]. The first author is partially supported by the NSF grant?DMS-2148266. Publisher Copyright: {\textcopyright} 2022 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.",
year = "2022",
month = apr,
doi = "10.1112/blms.12581",
language = "English (US)",
volume = "54",
pages = "517--525",
journal = "Bulletin of the London Mathematical Society",
issn = "0024-6093",
publisher = "Oxford University Press",
number = "2",
}