Hénon maps: a list of open problems
JX de Hénon - Arnold Mathematical Journal, 2024 - Springer
Hénon Maps: A List of Open Problems | Arnold Mathematical Journal Skip to main content
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Finite index theorems for iterated Galois groups of cubic polynomials
Let K be a number field or a function field. Let f ∈ K (x) f∈ K (x) be a rational function of
degree d ≥ 2 d≥ 2, and let β ∈ P^ 1 (K) β∈ P 1 (K¯). For all n ∈ N ∪ {∞\} n∈ N∪∞, the …
degree d ≥ 2 d≥ 2, and let β ∈ P^ 1 (K) β∈ P 1 (K¯). For all n ∈ N ∪ {∞\} n∈ N∪∞, the …
Arboreal representations for rational maps with few critical points
J Juul, H Krieger, N Looper, M Manes… - Research Directions in …, 2019 - Springer
Jones conjectures the arboreal representation of a degree two rational map will have finite
index in the full automorphism group of a binary rooted tree except under certain conditions …
index in the full automorphism group of a binary rooted tree except under certain conditions …
The size of semigroup orbits modulo primes
W Hindes, JH Silverman - Pacific Journal of Mathematics, 2023 - msp.org
Let V be a projective variety defined over a number field K, let S be a polarized set of
endomorphisms of V all defined over K, and let P∈ V (K). For each prime 𝔭 of K, let m 𝔭 (S …
endomorphisms of V all defined over K, and let P∈ V (K). For each prime 𝔭 of K, let m 𝔭 (S …
The greatest common divisor of linear recurrences
E Tron - Rendiconti del Seminario Matematico, 2020 - hal.science
The greatest common divisor of linear recurrences Page 1 HAL Id: hal-03129393 https://hal.science/hal-03129393
Submitted on 2 Feb 2021 HAL is a multi-disciplinary open access archive for the deposit …
Submitted on 2 Feb 2021 HAL is a multi-disciplinary open access archive for the deposit …
A finiteness result for common zeros of iterates of rational maps
C Noytaptim, X Zhong - arXiv preprint arXiv:2405.15104, 2024 - arxiv.org
Answering a question asked by Hsia and Tucker in their paper on the finiteness of greatest
common divisors of iterates of polynomials, we prove that if $ f, g\in\mathbb {C}(X) $ are …
common divisors of iterates of polynomials, we prove that if $ f, g\in\mathbb {C}(X) $ are …
[PDF][PDF] H\'enon maps: a list of open problems
arXiv:2312.03907v1 [math.DS] 6 Dec 2023 Page 1 HENON MAPS: A LIST OF OPEN
PROBLEMS by Julia Xénelkis de Hénon Abstract. — We propose a set of questions on the …
PROBLEMS by Julia Xénelkis de Hénon Abstract. — We propose a set of questions on the …
Greatest common divisors of iterates of polynomials
LC Hsia, T Tucker - Algebra & Number Theory, 2017 - msp.org
Greatest common divisors ofiterates of polynomials Page 1 Algebra & Number Theory msp
Volume 11 2017 No. 6 Greatest common divisors of iterates of polynomials Liang-Chung …
Volume 11 2017 No. 6 Greatest common divisors of iterates of polynomials Liang-Chung …
Problems of unlikely intersections in arithmetic
E Tron - 2022 - theses.fr
Résumé Dans cette thèse on considère quelques problèmes provenant dela théorie des
intersections improbables qui peuvent être résolus avecdes méthodes principalement …
intersections improbables qui peuvent être résolus avecdes méthodes principalement …
Vojta's conjecture, heights associated with subschemes, and primitive prime divisors in arithmetic dynamics
Y Matsuzawa - arXiv preprint arXiv:2012.04693, 2020 - arxiv.org
Assuming Vojta's conjecture, we give a sufficient condition for the limit\[\lim_ {n\to\infty}\frac
{h_ {Y}(f^{n}(x))}{h_ {H}(f^{n}(x))}\] is equal to zero, where $ f\colon X\longrightarrow X $ is a …
{h_ {Y}(f^{n}(x))}{h_ {H}(f^{n}(x))}\] is equal to zero, where $ f\colon X\longrightarrow X $ is a …