K-stable smooth Fano threefolds of Picard rank two

2022/10/26 by Cheltsov, Ivan, Denisova, Elena, Fujita, Kento
#14J45 #32Q20 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2210.14770

Abstract

We prove that all smooth Fano threefolds in the families 2.1, 2.2, 2.3, 2.4, 2.6 and 2.7 are K-stable, and we also prove that smooth Fano threefolds in the family 2.5 that satisfy one very explicit generality condition are K-stable.

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