Cover Image

Open problems in K-stability of Fano varieties

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Xu, Chenyang, Zhuang, Ziquan
Format:	Preprint
Published:	2026
Subjects:	Algebraic Geometry 14J45
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Relative stability theory and properness of K-moduli spaces
by: Blum, Harold, et al.
Published: (2025)

On moduli of Fano varieties: an introduction to K-stability and K-moduli
by: DeVleming, Kristin
Published: (2026)

Log K-stability of GIT-stable divisors on Fano varieties
by: Zhou, Chuyu
Published: (2021)

K-stability for varieties with a big anticanonical class
by: Xu, Chenyang
Published: (2022)

Fano varieties of middle pseudoindex
by: Watanabe, Kiwamu
Published: (2024)

On Casagrande-Druel Fano varieties with Lefschetz defect 2
by: Pastorino, Pier Roberto
Published: (2025)

On slope unstable Fano varieties
by: Chen, Yen-An, et al.
Published: (2026)

Classification of smooth Fano varieties with large pseudoindex
by: Watanabe, Kiwamu
Published: (2024)

Betti numbers and pseudoeffective cones in 2-Fano varieties
by: Muratore, Giosuè Emanuele
Published: (2016)

Kawamata--Miyaoka type inequality for $\mathbb{Q}$-Fano varieties with canonical singularities
by: Liu, Haidong, et al.
Published: (2023)

K-stability of Fano 3-folds of Picard rank 3 and degree 22
by: Cheltsov, Ivan
Published: (2024)

K-stability of pointless del Pezzo surfaces and Fano 3-folds
by: Abban, Hamid, et al.
Published: (2024)

Cylinders in Fano threefolds of genus 9 and 10
by: Virin, Nikita
Published: (2026)

On smooth Fano fourfolds of Picard number two
by: Hausen, Juergen, et al.
Published: (2019)

On the degree of Fano threefolds with canonical Gorenstein singularities
by: Prokhorov, Yuri G.
Published: (2004)

On K-stability of one-nodal prime Fano threefolds of genus $12$
by: Denisova, Elena, et al.
Published: (2025)

K-stability of Fano 3-folds of Picard rank 3 and degree 20
by: Denisova, Elena
Published: (2024)

On maximally non-factorial nodal Fano threefolds
by: Cheltsov, Ivan, et al.
Published: (2023)

Smooth Fano varieties with pseudoindex equal to half of their dimension
by: Watanabe, Kiwamu
Published: (2024)

Symmetries of Fano varieties
by: Esser, Louis, et al.
Published: (2023)

Rank two Weak Fano bundles on Fano threefolds of Picard rank one
by: Fukuoka, Takeru, et al.
Published: (2025)

Fano varieties with large pseudoindex and non-free rational curves
by: Watanabe, Kiwamu
Published: (2023)

Global smoothing of singular Fano and Calabi-Yau varieties
by: Tenie, Anda
Published: (2026)

Toricity in families of Fano varieties
by: Ji, Lena, et al.
Published: (2024)

Fano threefolds
by: Prokhorov, Yuri
Published: (2025)

K-Moduli of Fano Threefolds of Family 3.3
by: Etxabarri-Alberdi, Erroxe, et al.
Published: (2025)

K-moduli of Fano threefolds in family 3.10
by: Cheltsov, Ivan, et al.
Published: (2023)

K-polystability of Fano 4-folds with large Lefschetz defect
by: Romano, Eleonora A., et al.
Published: (2024)

Key variety construction of Sarkisov links for prime $\mathbb{Q}$-Fano threefolds of codimension four associated to Type ${\rm II}_{2}$ projections
by: Takagi, Hiromichi
Published: (2026)

On Gorenstein Fano toric complete intersections
by: Hausen, Juergen, et al.
Published: (2025)

A canonical Fano threefold has degree $\leq 72$
by: Jiang, Chen, et al.
Published: (2025)

An abundance-type result for the tangent bundles of smooth Fano varieties
by: Wang, Juanyong
Published: (2024)

Fano varieties with split tangent sheaf
by: Höring, Andreas
Published: (2026)

Deformations of singular Fano and Calabi-Yau varieties
by: Friedman, Robert, et al.
Published: (2022)

K-stable smooth Fano threefolds of Picard rank two
by: Cheltsov, Ivan, et al.
Published: (2022)

Elementary links from prime Fano threefolds along two lines
by: Fujita, Kento
Published: (2026)

An effective upper bound for anti-canonical volumes of singular Fano threefolds
by: Jiang, Chen, et al.
Published: (2023)

Boundedness of weak Fano threefolds with fixed Gorenstein index in positive characteristic
by: Sato, Kenta
Published: (2024)

Rank two weak Fano bundles on del Pezzo threefolds of degree five
by: Fukuoka, Takeru, et al.
Published: (2021)

On Arithmetic Mirror Symmetry for smooth Fano fourfolds
by: Ovcharenko, Mikhail
Published: (2026)