Stability of the conical Kähler-Ricci flows on Fano manifolds
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Publication:5005087
DOI10.1080/03605302.2020.1857403zbMath1472.53106arXiv1903.07528OpenAlexW3112878195MaRDI QIDQ5005087
Publication date: 4 August 2021
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.07528
Fano varieties (14J45) Parabolic Monge-Ampère equations (35K96) Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) (53E30)
Cites Work
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- The greatest Ricci lower bound, conical Einstein metrics and Chern number inequality
- The continuity method to deform cone angle
- Smooth approximations of the conical Kähler-Ricci flows
- Conic singularities metrics with prescribed Ricci curvature: general cone angles along normal crossing divisors
- Bergman kernel along the Kähler-Ricci flow and Tian's conjecture
- Conical Kähler-Einstein metrics revisited
- Conical Kähler-Ricci flows on Fano manifolds
- The Kähler-Ricci flow through singularities
- Regularity of Kähler-Ricci flows on Fano manifolds
- Ricci flow on surfaces with conical singularities
- Cusp Kähler-Ricci flow on compact Kähler manifolds
- Ricci flow on quasiprojective manifolds. II.
- Hölder continuity of solutions to the complex Monge-Ampère equation with the right-hand side in \(L^{p}\): the case of compact Kähler manifolds
- The Kähler-Ricci flow and the \(\overline \partial\) operator on vector fields
- Uniqueness in \(\mathcal E(X,\omega)\)
- The complex Monge-Ampère equation
- Uniqueness of Kähler-Einstein cone metrics
- Convergence of Ricci flows with bounded scalar curvature
- A note on conical Kähler-Ricci flow on minimal elliptic Kähler surfaces
- Yau-Tian-Donaldson correspondence for K-semistable Fano manifolds
- On a twisted conical Kähler-Ricci flow
- A scalar curvature bound along the conical Kähler-Ricci flow
- Blow-up rate of the scalar curvature along the conical Kähler-Ricci flow with finite time singularities
- The \(C^{2,\alpha }\)-estimate for conical Kähler-Ricci flow
- The conical complex Monge-Ampère equations on Kähler manifolds
- On the long time behaviour of the conical Kähler-Ricci flows
- Perelman's \(W\)-functional on manifolds with conical singularities
- The generalized Kähler Ricci flow
- The Ricci flow on the sphere with marked points
- Perelman's functionals on cones. Construction of type III Ricci flows coming out of cones
- The logarithmic Sobolev inequality along the Ricci flow: the case \(\lambda _0(g_0)=0\)
- A Brunn-Minkowski type inequality for Fano manifolds and some uniqueness theorems in Kähler geometry
- Bessel functions, heat kernel and the conical Kähler-Ricci flow
- Ricci flow on surfaces with conic singularities
- Convergence of the generalized Kähler-Ricci flow
- A thermodynamical formalism for Monge-Ampère equations, Moser-Trudinger inequalities and Kähler-Einstein metrics
- Multiplier ideal sheaves and the Kähler-Ricci flow
- On stability and the convergence of the Kähler-Ricci flow
- Existence of weak conical Kähler-Einstein metrics along smooth hypersurfaces
- The twisted Kähler-Ricci flow
- Smooth and Singular Kähler–Einstein Metrics
- Perelman’s entropy and Kähler-Ricci flow on a Fano manifold
- Tian’s properness conjectures and Finsler geometry of the space of Kähler metrics
- Convergence of Kähler-Ricci flow
- On regularization of plurisubharmonic functions on manifolds
- BOUNDING SCALAR CURVATURE AND DIAMETER ALONG THE KÄHLER RICCI FLOW (AFTER PERELMAN)
- ON STABILITY OF THE TANGENT BUNDLES OF FANO VARIETIES
- The Conical Kähler–Ricci Flow with Weak Initial Data on Fano Manifolds
- Convergence of the Kähler–Ricci flow on Fano manifolds
- K‐Stability and Kähler‐Einstein Metrics
- Kähler Metrics with Cone Singularities Along a Divisor
- Metrics with cone singularities along normal crossing divisors and holomorphic tensor fields
- A Uniform Sobolev Inequality Under Ricci Flow
- Ricci Flat Kähler Metrics with Edge Singularities
- 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
- Perelman’s entropies for manifolds with conical singularities
- Kähler-Einstein metrics with edge singularities
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