One-dimensional polynomial maps, periodic points and multipliers

DOI10.1070/IM2013v077n04ABEH002657zbMath1282.37026arXiv1207.3055OpenAlexW2081615327MaRDI QIDQ2854094

Yuri G. Zarhin

Publication date: 17 October 2013

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3055

zbMATH Keywords

complex polynomial dynamics in one variablemultipliers of periodic points

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Polynomials and rational functions of one complex variable (30C10) Elementary questions in algebraic geometry (14A25)

Related Items (2)

Spaces of polynomials related to multiplier maps ⋮ Algebraic independence of multipliers of periodic orbits in the space of polynomial maps of one variable

Cites Work

• Lie algebras and Lie groups. 1964 lectures, given at Harvard University.
• Polynomials in one variable and ranks of certain tangent maps
• Kupka-Smale theorem for polynomial automorphisms of \(\mathbb C^{2}\) and persistence of heteroclinic intersections
• Geometry and Dynamics of Quadratic Rational Maps
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