The conical complex Monge-Ampère equations on Kähler manifolds
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Publication:1751582
DOI10.1007/s00526-018-1318-xzbMath1393.53074arXiv1609.03821OpenAlexW2789885253MaRDI QIDQ1751582
Publication date: 25 May 2018
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.03821
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Complex Monge-Ampère operators (32W20)
Related Items (2)
Cusp Kähler-Ricci flow on compact Kähler manifolds ⋮ Stability of the conical Kähler-Ricci flows on Fano manifolds
Cites Work
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- Smooth approximations of the conical Kähler-Ricci flows
- Conic singularities metrics with prescribed Ricci curvature: general cone angles along normal crossing divisors
- A Monge-Ampère type fully nonlinear equation on Hermitian manifolds
- Conical Kähler-Ricci flows on Fano manifolds
- The Kähler-Ricci flow through singularities
- Regularity estimates of solutions to complex Monge-Ampère equations on Hermitian manifolds
- Hölder continuity of solutions to the complex Monge-Ampère equation with the right-hand side in \(L^{p}\): the case of compact Kähler manifolds
- On stability and continuity of bounded solutions of degenerate complex Monge-Ampère equations over compact Kähler manifolds
- A gradient estimate in the Calabi-Yau theorem
- Deformation of Kähler metrics to Kähler-Einstein metrics on compact Kähler manifolds
- Four-manifolds with positive curvature operator
- The Dirichlet problem for complex Monge-Ampère equations and regularity of the pluri-complex Green function
- The complex Monge-Ampère equation
- Uniqueness of Kähler-Einstein cone metrics
- A scalar curvature bound along the conical Kähler-Ricci flow
- The extremal function associated to intrinsic norms.
- Equations of Monge-Ampère type on compact Hermitian manifolds.
- Regularity of weak solutions of a complex Monge-Ampère equation
- On the \(C^{2,\alpha}\)-regularity of the complex Monge-Ampère equation
- On the long time behaviour of the conical Kähler-Ricci flows
- Bessel functions, heat kernel and the conical Kähler-Ricci flow
- Stability of solutions to complex Monge-Ampère equations in big cohomology classes
- Multiplier ideal sheaves and the Kähler-Ricci flow
- Complex Monge-Ampère equations and totally real submanifolds
- A Priori Estimates for Complex Monge-Ampere Equation on Hermitian Manifolds
- The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- Monge-Ampere equation on compact Kahler manifolds
- The Conical Kähler–Ricci Flow with Weak Initial Data on Fano Manifolds
- The $\mathcal C^{2,\alpha}$ estimate of complex Monge-Ampere equation
- K‐Stability and Kähler‐Einstein Metrics
- Metrics with cone singularities along normal crossing divisors and holomorphic tensor fields
- Complex Monge Ampere Equations
- Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities
- Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \boldmath2𝜋
- Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof
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