Calabi-Yau manifolds with isolated conical singularities
From MaRDI portal
Publication:679651
DOI10.1007/s10240-017-0092-1zbMath1397.32009arXiv1607.02940OpenAlexW2963091499WikidataQ125715022 ScholiaQ125715022MaRDI QIDQ679651
Publication date: 19 January 2018
Published in: Publications Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.02940
Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Kähler-Einstein manifolds (32Q20)
Related Items (38)
On the stability of extensions of tangent sheaves on Kähler-Einstein Fano/Calabi-Yau pairs ⋮ Kähler-Einstein metrics and volume minimization ⋮ Toric Sasaki-Einstein metrics with conical singularities ⋮ \(\mathrm{G}_2\) manifolds with nodal singularities along circles ⋮ Dirichlet problem for complex Monge–Ampère equation near an isolated KLT singularity ⋮ Eigenvalue estimates for 3-Sasaki structures ⋮ ACC for local volumes and boundedness of singularities ⋮ Evolution of form and shape ⋮ Higher regularity for singular Kähler-Einstein metrics ⋮ Calabi‐Yau metrics with cone singularities along intersecting complex lines: The unstable case ⋮ Kähler-Einstein Metrics via Moduli Continuity Method ⋮ Calabi-Yau metrics with conical singularities along line arrangements ⋮ Special Lagrangian cycles and Calabi-Yau transitions ⋮ Stability of the tangent bundle through conifold transitions ⋮ Kähler-Einstein metrics near an isolated log-canonical singularity ⋮ Rate of asymptotic convergence near an isolated singularity of \(\mathrm{G}_2\) manifold ⋮ Uniqueness of some Calabi-Yau metrics on \(\mathbf{C}^n\) ⋮ Singularities of Hermitian-Yang-Mills connections and Harder-Narasimhan-Seshadri filtrations ⋮ Kähler-Einstein metrics ⋮ A Guided Tour to Normalized Volume ⋮ Stability of Ricci de Turck flow on singular spaces ⋮ Stability of valuations: higher rational rank ⋮ Algebraicity of the metric tangent cones and equivariant K-stability ⋮ Variation of singular Kähler-Einstein metrics: positive Kodaira dimension ⋮ Local models for conical Kähler-Einstein metrics ⋮ Nilpotent structures and collapsing Ricci-flat metrics on the K3 surface ⋮ Singularities of plane complex curves and limits of Kähler metrics with cone singularities. I: Tangent cones ⋮ Complete noncompact \(\operatorname{Spin}(7)\) manifolds from self-dual Einstein 4-orbifolds ⋮ The normalized volume of a singularity is lower semicontinuous ⋮ Special Lagrangian submanifolds of log Calabi-Yau manifolds ⋮ On collapsing Calabi-Yau fibrations ⋮ Complete noncompact \(\mathrm{G}_2\)-manifolds from asymptotically conical Calabi-Yau 3-folds ⋮ Canonical identification at infinity for Ricci-flat manifolds ⋮ A gluing construction of collapsing Calabi-Yau metrics on \(K3\) fibred 3-folds ⋮ Applications of the moduli continuity method to log K‐stable pairs ⋮ On the construction of a complete Kähler-Einstein metric with negative scalar curvature near an isolated log-canonical singularity ⋮ Perelman’s entropies for manifolds with conical singularities ⋮ Degenerations of \(\mathbf{C}^n\) and Calabi-Yau metrics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics
- On cscK resolutions of conically singular cscK varieties
- Desingularizing isolated conical singularities: Uniform estimates via weighted Sobolev spaces
- Asymptotically conical Calabi-Yau manifolds. I
- Continuity of extremal transitions and flops for Calabi-Yau manifolds
- Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry
- Examples of asymptotically conical Ricci-flat Kähler manifolds
- Obstruction-flat asymptotically locally Euclidean metrics
- Existence and deformations of Kähler-Einstein metrics on smoothable \(\mathbb{Q}\)-Fano varieties
- Stability of valuations and Kollár components
- Spectral geometry of singular Riemannian spaces
- Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
- Limits of Calabi-Yau metrics when the Kähler class degenerates
- Smoothing singular constant scalar curvature Kähler surfaces and minimal Lagrangians
- Sasaki-Einstein manifolds and volume minimisation
- Multiple integrals in the calculus of variations
- Refined analytic torsion on manifolds with boundary
- Deformation of complete intersections with singularities
- Manifolds, tensor analysis, and applications.
- Versal deformation of algebraic hypersurfaces with isolated singularities
- Ricci-flat metrics on the complexification of a compact rank one symmetric space
- On the cone structure at infinity of Ricci flat manifolds with Euclidean volume growth and quadratic curvature decay
- Kähler-Einstein metrics and volume minimization
- Minimizing normalized volumes of valuations
- Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. II
- K-semistability for irregular Sasakian manifolds
- Stability results for Harnack inequalities.
- Special Lagrangian submanifolds with isolated conical singularities. I: Regularity
- Special Lagrangian submanifolds with isolated conical singularities. III: Desingularization, the unobstructed case
- Valuations and asymptotic invariants for sequences of ideals
- On uniqueness of tangent cones for Einstein manifolds
- On a conjecture of Candelas and de la Ossa
- Lectures on Kähler manifolds
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- ON THE CAUCHY PROBLEM FOR THE HEAT EQUATION ON RIEMANNIAN MANIFOLDS WITH CONICAL SINGULARITIES
- Singular Kähler-Einstein metrics
- Théorèmes de finitude pour la cohomologie des espaces complexes
- DEGENERATE COMPLEX MONGE–AMPÈRE EQUATIONS OVER COMPACT KÄHLER MANIFOLDS
- Métriques kählériennes et fibrés holomorphes
- Elliptic theory of differential edge operators I
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- On the Kähler–Ricci Flows Near the Mukai–Umemura 3-Fold
- Optimal bounds for the volumes of Kähler-Einstein Fano manifolds
- Deformations of nodal Kähler-Einstein Del Pezzo surfaces with discrete automorphism groups
- K\"ahler-Einstein metrics and algebraic structures on limit spaces
- Removable singularities in Yang-Mills fields
This page was built for publication: Calabi-Yau manifolds with isolated conical singularities