Holomorphic endomorphisms of \(\mathbb{P}^{3}(\mathbb{C})\) related to a Lie algebra of type \(A_{3}\) and catastrophe theory

DOI10.1215/21562261-3759576zbMath1380.37099arXiv1604.04404OpenAlexW2341434388WikidataQ115240634 ScholiaQ115240634MaRDI QIDQ522120

Keisuke Uchimura

Publication date: 13 April 2017

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.04404

zbMATH Keywords

dynamical systemcatastrophe theoryChebyshev endomorphism

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) Catastrophe theory (58K35)

Related Items (3)

Dynamics of Chebyshev endomorphisms on some affine algebraic varieties ⋮ Julia sets for polynomial diffeomorphisms of \(\mathbb{C}^2\) are not semianalytic ⋮ No smooth Julia sets for polynomial diffeomorphisms of \({\mathbb C}^2\) with positive entropy

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