On K-stability of Fano’s last Fanos
Ivan Cheltsov
University of Edinburgh, Scotland, UKDongSeon Hwang
Institute for Basic Science, Daejeon, South KoreaAlex Küronya
Goethe University Frankfurt, GermanyAntonio Laface
Universidad de Concepción, ChileFrédéric Mangolte
Aix Marseille University, FranceAlex Massarenti
University of Ferrara, ItalyJihun Park
Institute for Basic Science, Pohang, South KoreaJunyan Zhao
University of Maryland, College Park, USA

Abstract
We study K-stability of smooth Fano threefolds of Picard rank and degree , which can be obtained by blowing up a smooth complete intersection of two quadrics in along a conic. We also describe the automorphism groups of these threefolds.
Cite this article
Ivan Cheltsov, DongSeon Hwang, Alex Küronya, Antonio Laface, Frédéric Mangolte, Alex Massarenti, Jihun Park, Junyan Zhao, On K-stability of Fano’s last Fanos. EMS Surv. Math. Sci. (2026), published online first
DOI 10.4171/EMSS/126