Einstein-Kähler toric Fano fourfolds

DOI10.2748/tmj/1178225923zbMath0778.53040OpenAlexW2150454272MaRDI QIDQ685315

Yasuhiro Nakagawa

Publication date: 20 December 1993

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225923

zbMATH Keywords

Futaki invariantEinstein-Kähler metrics

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items

Classification of Einstein-Kähler toric Fano fourfolds ⋮ Kähler--Ricci solitons on toric manifolds with positive first Chern class ⋮ The Kähler geometry of Bott manifolds ⋮ Kähler–Einstein Metrics on Toric Manifolds and G-manifolds ⋮ On stability of tangent bundle of toric varieties ⋮ On the classification of toric Fano 4-folds

Cites Work

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• Lectures on torus embeddings and applications. (Based on joint work with Katsuya Miyake.)
• Toroidal embeddings. I
• Multiplier ideal sheaves and Kähler-Einstein metrics of positive scalar curvature
• The classification of Fano 3-folds with torus embeddings
• Kähler-Einstein metrics on complex surfaces with \(C_ 1>0\)
• Examples of compact Einstein Kähler manifolds with positive Ricci tensor
• The existence of Kähler-Einstein metrics on manifolds with positive anticanonical line bundle and a suitable finite symmetry group
• Einstein-Kähler forms, Futaki invariants and convex geometry on toric Fano varieties
• Torus embeddings and dualizing complexes
• On the classification of toric Fano 4-folds
• An obstruction to the existence of Einstein Kaehler metrics
• Sur la Structure du Groupe d’Homéomorphismes Analytiques d’une Certaine Variété Kaehlérinne
• TOROIDAL FANO VARIETIES AND ROOT SYSTEMS
• Sous-groupes algébriques de rang maximum du groupe de Cremona