An effective weighted K-stability condition for polytopes and semisimple principal toric fibrations
DOI10.5802/ahl.161arXiv2202.02996WikidataQ126000296 ScholiaQ126000296MaRDI QIDQ6098914
Thibaut Delcroix, Simon Jubert
Publication date: 19 June 2023
Published in: Annales Henri Lebesgue (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.02996
projective bundleextremal Kähler metricuniform K-stabilitysemisimple principal toric fibrationweighted cscK metric
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Notions of stability for complex manifolds (32Q26)
Related Items (1)
Cites Work
- Toric Kähler-Einstein metrics and convex compact polytopes
- Real Monge-Ampère equations and Kähler-Ricci solitons on toric log Fano varieties
- Extremal Kähler metrics on projective bundles over a curve
- Some estimates for the generalized Abreu equation
- Hamiltonian 2-forms in Kähler geometry. III: Extremal metrics and stability
- Relative K-stability and modified K-energy on toric manifolds
- K-energy maps integrating Futaki invariants
- Convexity properties of the moment mapping
- Kaehler structures on toric varieties
- Bilinear forms and extremal Kähler vector fields associated with Kähler classes
- On modified Mabuchi functional and Mabuchi moduli space of Kähler metrics on toric bundles
- Kähler metrics on toric orbifolds.
- Connecting toric manifolds by conical Kähler-Einstein metrics
- Scalar curvature and stability of toric varieties.
- Kähler--Ricci solitons on toric manifolds with positive first Chern class
- Hamiltonian 2-forms in Kähler geometry. I: General theory
- Hamiltonian 2-forms in Kähler geometry. II: Global classification
- A momentum construction for circle-invariant Kähler metrics
- Sur la Structure du Groupe d’Homéomorphismes Analytiques d’une Certaine Variété Kaehlérinne
- Extremal metrics and K-stability
- Kahler geometry on toric manifolds, and some other manifolds with large symmetry
- Hamiltoniens périodiques et images convexes de l'application moment
- Kähler metrics with constant weighted scalar curvature and weighted K‐stability
- Interior regularity for the generalized Abreu equation
- Geodesic rays and stability in the lowercase cscK problem
- Generalized Kähler-Ricci flow on toric Fano varieties
- A Note on Extremal Toric Almost Kähler Metrics
- On the constant scalar curvature Kähler metrics (I)—A priori estimates
- On the constant scalar curvature Kähler metrics (II)—Existence results
- On Calabi’s extremal metric and properness
- The Calabi Problem for Fano Threefolds
- Extremal metrics on toric manifolds and homogeneous toric bundles
- Uniform K-stability of polarized spherical varieties
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: An effective weighted K-stability condition for polytopes and semisimple principal toric fibrations
