Local regularity of super-potentials and equidistribution of positive closed currents on \({\mathbb {P}}^k\)
DOI10.1007/s00208-017-1579-2zbMath1414.32018arXiv1607.03988OpenAlexW2962824677MaRDI QIDQ1659913
Publication date: 23 August 2018
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.03988
positive closed currentsholomorphic endomorphisms of projective spacesuper-potentials of positive closed currents
Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) 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) Lelong numbers (32U25) Currents (32U40)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Measures and dynamics on Noetherian spaces
- Super-potentials of positive closed currents, intersection theory and dynamics
- Equidistribution speed for endomorphisms of projective spaces
- Complex differential and integral geometry and curvature integrals associated to singularities of complex analytic varieties
- Brolin's theorem for curves in two complex dimensions.
- Multiplicity of holomorphic functions
- Distribution of the values of meromorphic transformations and applications
- Equidistribution in higher codimension for holomorphic endomorphisms of $\mathbb {P}^k$
- Super-potentials for currents on compact Kähler manifolds and dynamics of automorphisms
- Eigenvaluations
- Equidistribution towards the Green current for holomorphic maps
- Analytic multiplicative cocycles over holomorphic dynamical systems
- An invariant measure for rational maps
- Extending analytic objects
- Value distribution for sequences of rational mappings and complex dynamics
- Green currents for holomorphic automorphisms of compact Kähler manifolds
- Equidistribution towards the Green current
- Two characterizations of equilibrium measure of an endomorphism of \(P^k(\mathbb{C})\)
- Equidistribution speed towards the Green current for endomorphisms of \(\mathbb P^k\)
This page was built for publication: Local regularity of super-potentials and equidistribution of positive closed currents on \({\mathbb {P}}^k\)