Pré-Publication, Document De Travail Année : 2025

K-stability of Fano 3-folds in the World of Null-A

Résumé

A variety is said to satisfy Condition (A) if every finite abelian subgroup of its automorphism group has a fixed point. We show that a smooth Fano 3-fold not satisfying Condition (A) is K-polystable unless it is contained in eight exceptional deformation families (seven of them consists of one smooth member, and one of them has one-parameter moduli).

Dates et versions

hal-05060501 , version 1 (08-05-2025)

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Hamid Abban, Ivan Cheltsov, Takashi Kishimoto, Frédéric Mangolte. K-stability of Fano 3-folds in the World of Null-A. 2025. ⟨hal-05060501⟩
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