Unlikely intersection for two-parameter families of polynomials

Dragos Ghioca, Liang Chung Hsia, Thomas J. Tucker

Research output: Contribution to journalArticle

1 Citation (Scopus)


Let c1, c2, c3 be distinct complex numbers, and let d ≥ 3 be an integer. We show that the set of all pairs (a, b) ϵ C × C such that each ci is preperiodic for the action of the polynomial xd + ax + b is not Zariski dense in the affine plane.

Original languageEnglish
Pages (from-to)7589-7618
Number of pages30
JournalInternational Mathematics Research Notices
Issue number24
Publication statusPublished - 2016 Jan 1

ASJC Scopus subject areas

  • Mathematics(all)

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