Ricci-flat metrics and dynamics on \(K3\) surfaces
From MaRDI portal
Publication:2024164
DOI10.1007/s40574-020-00269-yzbMath1464.14042arXiv2003.06976OpenAlexW3012453440MaRDI QIDQ2024164
Publication date: 3 May 2021
Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.06976
Global differential geometry of Hermitian and Kählerian manifolds (53C55) (K3) surfaces and Enriques surfaces (14J28) Calabi-Yau theory (complex-analytic aspects) (32Q25) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Compact complex surfaces (32J15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamics of automorphisms on compact Kähler manifolds
- Every K 3 surface is Kähler
- \(K3\) surfaces. Translated from the Japanese by the author
- Variétés kähleriennes dont la première classe de Chern est nulle
- Limits of Calabi-Yau metrics when the Kähler class degenerates
- Kähler currents and null loci
- K3-surfaces with Picard number 2
- The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
- Volume growth and entropy
- Continuity properties of entropy
- Applications of the Kaehler-Einstein-Calabi-Yau metric to moduli of K3 surfaces
- The Dirichlet problem for a complex Monge-Ampère equation
- Courants kählériens et surfaces compactes. (Kähler currents and compact surfaces)
- On compact Kähler surfaces
- Large complex structure limits of \(K3\) surfaces
- Parabolic orbifolds and the dimension of the maximal measure for rational maps
- On the entropy of holomorphic maps
- Holomorphic Anosov systems
- Collapsing of abelian fibered Calabi-Yau manifolds
- Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy
- The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
- The Kähler-Ricci flow on surfaces of positive Kodaira dimension
- Dynamics on blowups of the projective plane
- A characterization of Lattès endomorphisms by their Green measure
- Une caractérisation géométrique des exemples de Lattès de $\mathbb{P}^k$
- Dynamics on K3 surfaces: Salem numbers and Siegel disks
- Lectures on K3 Surfaces
- Regularity of dynamical Green’s functions
- Remarks on the collapsing of torus fibered Calabi–Yau manifolds
- On the Torelli problem for kählerian $K-3$ surfaces
- Kähler metrics on elliptic surfaces
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- Dynamique des automorphismes des surfaces projectives complexes
- Symétries birationnelles des surfaces feuilletÉes
- Green currents for holomorphic automorphisms of compact Kähler manifolds
- Collapsing Calabi–Yau manifolds
- Kummer rigidity for K3 surface automorphisms via Ricci-flat metrics
- AUTOMORPHISMS AND DYNAMICS: A LIST OF OPEN PROBLEMS
- On the Structure of Compact Complex Analytic Surfaces, I
- Dynamics of automorphisms of \(K3\) surfaces
