Preperiodic points for families of polynomials

Dragos Ghioca; Liang Chung Hsia; Thomas J. Tucker

doi:10.2140/ant.2013.7.701

Preperiodic points for families of polynomials

Dragos Ghioca
, Liang Chung Hsia
, Thomas J. Tucker

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

26 引文斯高帕斯（Scopus）

摘要

Let a(λ), b(λ) j{cyrillic, ukrainian} C[λ], and let f_λ(x) j{cyrillic, ukrainian} C[x] be a one-parameter family of polynomials indexed by all λ j{cyrillic, ukrainian} C. We study whether there exist infinitely many λ j{cyrillic, ukrainian} C such that both a(λ) and b(λ) are preperiodic for f_λ.

原文	英語
頁（從 - 到）	701-732
頁數	32
期刊	Algebra and Number Theory
卷	7
發行號	3
DOIs	https://doi.org/10.2140/ant.2013.7.701
出版狀態	已發佈 - 2013

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10.2140/ant.2013.7.701

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title = "Preperiodic points for families of polynomials",

abstract = "Let a(λ), b(λ) j\{cyrillic, ukrainian\} C[λ], and let fλ(x) j\{cyrillic, ukrainian\} C[x] be a one-parameter family of polynomials indexed by all λ j\{cyrillic, ukrainian\} C. We study whether there exist infinitely many λ j\{cyrillic, ukrainian\} C such that both a(λ) and b(λ) are preperiodic for fλ.",

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AU - Hsia, Liang Chung

AU - Tucker, Thomas J.

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AB - Let a(λ), b(λ) j{cyrillic, ukrainian} C[λ], and let fλ(x) j{cyrillic, ukrainian} C[x] be a one-parameter family of polynomials indexed by all λ j{cyrillic, ukrainian} C. We study whether there exist infinitely many λ j{cyrillic, ukrainian} C such that both a(λ) and b(λ) are preperiodic for fλ.

KW - Heights

KW - Preperiodic points

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ER -

Preperiodic points for families of polynomials

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