Algebraic degrees for iterates of meromorphic self-maps of \(\mathbb P^k\)

DOI10.5565/PUBLMAT_50206_10zbMath1112.37035arXivmath/0603545OpenAlexW1970670009MaRDI QIDQ874411

Viêt-Anh Nguyên

Publication date: 5 April 2007

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603545

zbMATH Keywords

quasi-algebraically stable meromorphic mapsfirst dynamical degreesrecurrent property

Mathematics Subject Classification ID

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)

Related Items

Super-potentials of positive closed currents, intersection theory and dynamics ⋮ Degree growth of rational maps induced from algebraic structures ⋮ Dynamical compactifications of \(\mathbb{C}^2\) ⋮ Stabilization of monomial maps ⋮ Hodge polynomials of singular hypersurfaces ⋮ Pulling back cohomology classes and dynamical degrees of monomial maps ⋮ Degree growth of meromorphic surface maps ⋮ Dynamical degree, arithmetic entropy, and canonical heights for dominant rational self-maps of projective space ⋮ Degree-growth of monomial maps ⋮ Eigenvaluations ⋮ On the arithmetic dynamics of monomial maps