Steady Kähler–Ricci solitons on crepant resolutions of finite quotients of Cn$\mathbb {C}^n$

DOI10.1112/jlms.12833arXiv1711.02019OpenAlexW4388852007MaRDI QIDQ6199313

Heather Macbeth, Olivier Biquard

Publication date: 23 February 2024

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.02019

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Perturbations of PDEs on manifolds; asymptotics (58J37)

Cites Work

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• Complete embedded self-translating surfaces under mean curvature flow
• On blowing up extremal Kähler manifolds
• Extremal metrics on blowups
• On Ricci solitons of cohomogeneity one
• A Kummer construction for gravitational instantons
• A renormalized Perelman-functional and a lower bound for the ADM-mass
• Compact constant mean curvature surfaces in Euclidean three-space
• Blowing up and desingularizing constant scalar curvature Kähler manifolds
• Smoothing singular constant scalar curvature Kähler surfaces and minimal Lagrangians
• Degenerate neckpinches in Ricci flow
• Complete constant mean curvature surfaces in Euclidean three-space
• The existence of type II singularities for the Ricci flow on \(S^{n+1}\)
• Type II extinction profile of maximal solutions to the Ricci flow in \(\mathbb R^{2}\)
• Complete Kähler manifolds with zero Ricci curvature. II
• The existence of anti-self-dual conformal structures
• Ricci solitons on compact three-manifolds
• Elliptic partial differential equations of second order
• On hypersurface quotient singularities of dimension \(4\)
• Sobolev spaces on Riemannian manifolds
• Rotationally symmetric shrinking and expanding gradient Kähler-Ricci solitons
• Type II collapsing of maximal solutions to the Ricci flow in \(\mathbb R^2\)
• Non-minimal scalar-flat Kähler surfaces and parabolic stability
• The McKay correspondence as an equivalence of derived categories
• A CHARACTERIZATION OF NONCOMPACT KOISO-TYPE SOLITONS
• Translating Tridents
• Métriques kählériennes et fibrés holomorphes
• Existence of Gradient Kahler-Ricci Solitons
• All toric local complete intersection singularities admit projective crepant resolutions