Deformations of extremal toric manifolds

DOI10.1007/s12220-013-9403-zzbMath1301.32016arXiv1201.4137OpenAlexW3105502862MaRDI QIDQ472100

Yann Rollin, Carl Tipler

Publication date: 18 November 2014

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.4137

zbMATH Keywords

toric varietydeformation theoryglobal analysisextremal metricsCalabi program

Mathematics Subject Classification ID

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 (5)

Kähler-Einstein metrics on symmetric Fano \(T\)-varieties ⋮ A note on blow-ups of toric surfaces and csc Kähler metrics ⋮ Stability under deformations of Hermite-Einstein almost Kähler metrics ⋮ Deformation of complex structures and the coupled Kähler-Yang-Mills equations ⋮ Deformations of smooth complete toric varieties: obstructions and the cup product

Cites Work

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• Deformations of rational 𝑇-varieties
• Extremal metrics and K-stability
• Kahler geometry on toric manifolds, and some other manifolds with large symmetry
• The Kähler-Ricci flow and K-polystability
• Extremal K\"ahler metrics on blow-ups of parabolic ruled surfaces
• Sous-groupes algébriques de rang maximum du groupe de Cremona

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