K-stability of Fano threefolds of rank 3 and degree 14

2024/03/06 by Grigory Belousov, Belousov, Grigory, Konstantin Loginov +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2403.03700

openalex publication_date 2024/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that all general smooth Fano threefolds of Picard rank 3 and degree 14 are K-stable, where the generality condition is stated explicitly.

Related

• On K-stability for Fano threefolds of rank 3 and degree 28
• K-stability of Fano threefolds of rank 4 and degree 24
• K-stable smooth Fano threefolds of Picard rank two
• K-stability of Fano 3-folds of Picard rank 3 and degree 22
• K-stability of Fano 3-folds of Picard rank 3 and degree 20