The Kähler–Ricci flow on Hirzebruch surfaces

DOI10.1515/CRELLE.2011.071zbMath1252.53080arXiv0903.1900MaRDI QIDQ3096798

Jian Song, Ben Weinkove

Publication date: 14 November 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1900

zbMATH Keywords

Hirzebruch surfaceKähler-Ricci flow

Mathematics Subject Classification ID

Related Items (23)

Compact Kähler manifolds with nonpositive bisectional curvature ⋮ The Chern-Ricci flow ⋮ The Kähler-Ricci flow on Fano bundles ⋮ The Chern-Ricci flow on primary Hopf surfaces ⋮ On the finite time collapsing rate of Kähler-Ricci flow on projective bundles ⋮ Neural network approximations for Calabi-Yau metrics ⋮ Calabi symmetry and the continuity method ⋮ Kähler-Ricci flow and conformal submersion ⋮ Contracting exceptional divisors by the Kähler-Ricci flow ⋮ An almost complex Chern-Ricci flow ⋮ On a twisted conical Kähler-Ricci flow ⋮ Pluriclosed Flow and the Geometrization of Complex Surfaces ⋮ Parabolic flows in complex geometry ⋮ Kähler-Ricci flow on projective bundles over Kähler-Einstein manifolds ⋮ The Kähler-Ricci flow through singularities ⋮ Collapsing of products along the Kähler-Ricci flow ⋮ On a conjecture of Candelas and de la Ossa ⋮ Metric contraction of the cone divisor by the conical Kähler-Ricci flow ⋮ Scalar \(V\)-soliton equation and Kähler-Ricci flow on symplectic quotients ⋮ Hirzebruch manifolds and positive holomorphic sectional curvature ⋮ Convergence of general inverse $\sigma _k$-flow on Kähler manifolds with Calabi ansatz ⋮ The Kähler-Ricci flow, holomorphic vector fields and Fano bundles ⋮ On the collapsing rate of the Kähler-Ricci flow with finite-time singularity

Cites Work

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• Existence and degeneration of Kähler-Einstein metrics on minimal algebraic varieties of general ype
• Kähler-Einstein metrics with positive scalar curvature
• The complex Monge-Ampère equation
• Kähler--Ricci solitons on toric manifolds with positive first Chern class
• On the Kähler-Ricci flow on projective manifolds of general type
• The Kähler-Ricci flow on surfaces of positive Kodaira dimension
• Singular Kähler-Einstein metrics
• Convergence of Kähler-Ricci flow
• BOUNDING SCALAR CURVATURE AND DIAMETER ALONG THE KÄHLER RICCI FLOW (AFTER PERELMAN)
• On the construction of Nadel multiplier ideal sheaves and the limiting behavior of the Ricci flow
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I

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