On the collapsing of Calabi-Yau manifolds and Kähler-Ricci flows
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Publication:6112907
DOI10.1515/crelle-2023-0025zbMath1526.53094arXiv2107.00836MaRDI QIDQ6112907
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Publication date: 10 July 2023
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.00836
Calabi-Yau theory (complex-analytic aspects) (32Q25) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) (53E30)
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Cites Work
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- Conic singularities metrics with prescribed Ricci curvature: general cone angles along normal crossing divisors
- Kähler-Einstein metrics on stable varieties and log canonical pairs
- Kähler-Einstein metrics with mixed Poincaré and cone singularities along a normal crossing divisor
- Gromov-Hausdorff collapsing of Calabi-Yau manifolds
- Plurisubharmonische Funktionen in komplexen Räumen
- Higher-order estimates for collapsing Calabi-Yau metrics
- Infinite-time singularities of the Kähler-Ricci flow
- Hölder continuity of solutions to the complex Monge-Ampère equation with the right-hand side in \(L^{p}\): the case of compact Kähler manifolds
- Adiabatic limits of Ricci-flat Kähler metrics
- On stability and continuity of bounded solutions of degenerate complex Monge-Ampère equations over compact Kähler manifolds
- Notes on Perelman's papers
- The Dirichlet problem for a complex Monge-Ampère equation
- On the structure of spaces with Ricci curvature bounded below. I
- The complex Monge-Ampère equation
- Large complex structure limits of \(K3\) surfaces
- A canonical bundle formula
- Convergence of weak Kähler-Ricci flows on minimal models of positive Kodaira dimension
- Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
- Collapsing of abelian fibered Calabi-Yau manifolds
- On collapsing Calabi-Yau fibrations
- Gromov-Hausdorff limits of Kähler manifolds with Ricci curvature bounded below
- Geometric estimates for complex Monge-Ampère equations
- Geometry of twisted Kähler-Einstein metrics and collapsing
- The weighted Monge-Ampère energy of quasiplurisubharmonic functions
- Shokurov's boundary property
- The collapsing rate of the Kähler-Ricci flow with regular infinite time singularity
- Rectifiability of singular sets of noncollapsed limit spaces with Ricci curvature bounded below
- Diameter estimates for long-time solutions of the Kähler-Ricci flow
- Canonical measures and Kähler-Ricci flow
- Gravitational instantons from rational elliptic surfaces
- Bounding scalar curvature for global solutions of the Kähler-Ricci flow
- A Travel Guide to the Canonical Bundle Formula
- Collapsing hyperkähler manifolds
- Remarks on the collapsing of torus fibered Calabi–Yau manifolds
- Differential equations on riemannian manifolds and their geometric applications
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- Subadjunction of log canonical divisors, II
- Monge-Ampere equation on compact Kahler manifolds
- The Kähler-Ricci flow, Ricci-flat metrics and collapsing limits
- KAWA lecture notes on the K\"ahler-Ricci flow
- Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
- Extension of plurisubharmonic functions with growth control
- Collapsing Calabi–Yau manifolds
- Kodaira's canonical bundle formula and adjunction
- Continuity of Singular Kähler–Einstein Potentials
- On the Hölder Estimate of Kähler–Ricci Flow