Chebyshev potentials, Fubini–Study metrics, and geometry of the space of Kähler metrics

DOI10.1112/blms.12971arXiv2210.13802OpenAlexW4390011714MaRDI QIDQ6152026

Chenzi Jin, Yanir A. Rubinstein

Publication date: 11 March 2024

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.13802

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15)

Cites Work

• The Cauchy problem for the homogeneous Monge-Ampère equation. II: Legendre transform
• Growth of balls of holomorphic sections and energy at equilibrium
• Positivity of direct image bundles and convexity on the space of Kähler metrics
• Functional analysis, Sobolev spaces and partial differential equations
• Some symplectic geometry on compact Kähler manifolds. I
• Kaehler structures on toric varieties
• Symplectic geometry of integrable Hamiltonian systems
• The space of Kähler metrics.
• Tian’s properness conjectures and Finsler geometry of the space of Kähler metrics
• Introduction to Toric Varieties. (AM-131)
• Convex bodies associated to linear series
• Hamiltoniens périodiques et images convexes de l'application moment
• Complex Monge-Ampere and Symplectic Manifolds
• Transforming metrics on a line bundle to the Okounkov body
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