Nilpotent structures and collapsing Ricci-flat metrics on the K3 surface
From MaRDI portal
Publication:5163488
DOI10.1090/jams/978zbMath1490.53065arXiv1807.09367OpenAlexW3134759404MaRDI QIDQ5163488
Hans-Joachim Hein, Ruobing Zhang, Jeff A. Viaclovsky, Song Sun
Publication date: 4 November 2021
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.09367
Global differential geometry of Hermitian and Kählerian manifolds (53C55) (K3) surfaces and Enriques surfaces (14J28) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)
Related Items (13)
The Torelli theorem for gravitational instantons ⋮ Four-dimensional Einstein manifolds with Heisenberg symmetry ⋮ Einstein metrics on bundles over Hyperkähler manifolds ⋮ Period domains for gravitational instantons ⋮ Hodge theory on \(\mathrm{ALG}^\ast\) manifolds ⋮ Families of degenerating Poincaré-Einstein metrics on \(\mathbb{R}^4\) ⋮ SYZ mirror symmetry for del Pezzo surfaces and affine structures ⋮ SYZ Geometry for Calabi-Yau 3-folds: Taub-NUT and Ooguri-Vafa Type Metrics ⋮ Analysis, geometry and topology of singular PDE. Abstracts from the workshop held June 6--12, 2021 (hybrid meeting) ⋮ Degenerations of K3, orientifolds and exotic branes ⋮ Degenerated Calabi-Yau varieties with infinite components, moduli compactifications, and limit toroidal structures ⋮ Degenerating Kähler-Einstein cones, locally symmetric cusps, and the Tian-Yau metric ⋮ PL DENSITY INVARIANT FOR TYPE II DEGENERATING K3 SURFACES, MODULI COMPACTIFICATION AND HYPER-KÄHLER METRIC
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Topology and \(\epsilon\)-regularity theorems on collapsed manifolds with Ricci curvature bounds
- Volume estimates for Kähler-Einstein metrics and rigidity of complex structures
- Asymptotically conical Calabi-Yau manifolds. I
- Calabi-Yau manifolds with isolated conical singularities
- On Calabi's conjecture for complex surfaces with positive first Chern class
- On sharp rates and analytic compactifications of asymptotically conical Kähler metrics
- Asymptotically cylindrical Calabi-Yau manifolds
- Regularity of Einstein manifolds and the codimension 4 conjecture
- Convergence and rigidity of manifolds under Ricci curvature bounds
- On asymptotics of complete Ricci-flat Kähler metrics on open manifolds
- Self-dual conformal structures on \(\mathbb{C} \mathbb{P}^ 2\)
- Stringy cosmic strings and noncompact Calabi-Yau manifolds
- \(C^ \alpha\)-compactness for manifolds with Ricci curvature and injectivity radius bounded below
- A Kummer-type construction of self-dual 4-manifolds
- Symplectic submanifolds and almost-complex geometry
- On the structure of spaces with Ricci curvature bounded below. I
- Integral bounds on curvature, elliptic estimates and rectifiability of singular sets
- Massive string theories from M-theory and F-theory
- Large complex structure limits of \(K3\) surfaces
- Anti-self-duality of curvature and degeneration of metrics with special holonomy
- On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth
- On the singularities of spaces with bounded Ricci curvature
- Lower bounds on Ricci curvature and the almost rigidity of warped products
- Lower bounds on Ricci curvature and quantitative behavior of singular sets
- Gravitational instantons with faster than quadratic curvature decay. III.
- Infinitely many new families of complete cohomogeneity one \(G_2\)-manifolds: \(G_2\) analogues of the Taub-NUT and Eguchi-Hanson spaces
- Projective embedding of log Riemann surfaces and K-stability
- The collapsing geometry of almost Ricci-flat 4-manifolds
- Asymptotically conical Calabi-Yau metrics on quasi-projective varieties
- Non-minimal scalar-flat Kähler surfaces and parabolic stability
- ALF gravitational instantons and collapsing Ricci-flat metrics on the \(\mathrm{K3}\) surface
- Gravitational instantons from rational elliptic surfaces
- THE SPACE OF HYPERKÄHLER METRICS ON A 4-MANIFOLD WITH BOUNDARY
- Curvature and injectivity radius estimates for Einstein 4-manifolds
- Symmetric Green's Functions on Complete 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
- Twisted connected sums and special Riemannian holonomy
- Summing up Dirichlet Instantons
- The Geometries of 3-Manifolds
- Rigidity for Multi-Taub-NUT metrics
- Calabi-Yau metrics on Kummer surfaces as a model glueing problem
- Complete Kahler Manifolds with Zero Ricci Curvature. I
- Gluing theorems for complete anti-self-dual spaces
This page was built for publication: Nilpotent structures and collapsing Ricci-flat metrics on the K3 surface