A note on modified \(J\)-flow with the Calabi ansatz

DOI10.1016/j.bulsci.2023.103360arXiv2309.02720OpenAlexW4388571448MaRDI QIDQ6146234

P. Sivaram

Publication date: 10 January 2024

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.02720

zbMATH Keywords

Kähler manifoldCalabi ansatzNakai-Moishezon criterionmodified \(J\)-flow

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) (53E30)

Cites Work

• Convergence of the \(J\)-flow on toric manifolds
• Fully non-linear elliptic equations on compact Hermitian manifolds
• Numerical characterization of the Kähler cone of a compact Kähler manifold
• A new parabolic flow in Kähler manifolds
• Convergence of the \(J\)-flow on Kähler surfaces
• The J-equation and the supercritical deformed Hermitian-Yang-Mills equation
• A numerical criterion for generalised Monge-Ampère equations on projective manifolds
• A criterion for the properness of the \(K\)-energy in a general Kähler class
• The J-flow and stability
• On the \(J\)-flow in higher dimensions and the lower boundedness of the Mabuchi energy
• The \(J\)-flow on Kähler surfaces: a boundary case
• A momentum construction for circle-invariant Kähler metrics
• A criterion for the properness of the K-energy in a general Kähler class (II)
• Convergence of general inverse $\sigma _k$-flow on Kähler manifolds with Calabi ansatz
• On the convergence and singularities of the J‐Flow with applications to the Mabuchi energy
• Kähler-Ricci soliton typed equations on compact complex manifolds with \(c_1(M)>0\).
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