Unlikely intersection for two-parameter families of polynomials

Dragos Ghioca*, Liang Chung Hsia, Thomas J. Tucker

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (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 Dec

ASJC Scopus subject areas

  • General Mathematics


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