Preperiodic points for quadratic polynomials over quadratic fields
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Publication:2512555
zbMath1391.37082arXiv1309.6401MaRDI QIDQ2512555
David Krumm, John R. Doyle, Xander Faber
Publication date: 7 August 2014
Published in: The New York Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1309.6401
Rational points (14G05) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Arithmetic properties of periodic points (37P35)
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A Galois-dynamics correspondence for unicritical polynomials ⋮ Computing points of bounded height in projective space over a number field ⋮ Preperiodic points for quadratic polynomials with small cycles over quadratic fields ⋮ Functional graphs of polynomials over finite fields ⋮ New families satisfying the dynamical uniform boundedness principle over function fields ⋮ Quadratic rational functions with a rational periodic critical point of period 3 ⋮ Dynamical modular curves for quadratic polynomial maps ⋮ Preperiodic points for quadratic polynomials over cyclotomic quadratic fields ⋮ Squarefree parts of polynomial values ⋮ A local–global principle in the dynamics of quadratic polynomials ⋮ Automorphism loci for degree 3 and degree 4 endomorphisms of the projective line ⋮ Benedetto’s trick and existence of rational preperiodic structures for quadratic polynomials ⋮ Determination of all rational preperiodic points for morphisms of PN ⋮ Computing algebraic numbers of bounded height ⋮ Quadratic maps with a periodic critical point of period 2
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