@article{968f836bc3b04492b9983fdcfc4b74f8,
title = "Unlikely intersection for two-parameter families of polynomials",
abstract = "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.",
author = "Dragos Ghioca and Hsia, {Liang Chung} and Tucker, {Thomas J.}",
note = "Funding Information: This work was partially supported by NSERC [to D.G.]; NSF Grants DMS-0854839 and DMS-1200749 [to T.J.T.], and NSC Grant 102-2115-M-003-002-MY2 [to L.-C.H.] and supported by NCTS [to L.-C.H.]. Publisher Copyright: {\textcopyright} The Author(s) 2016. Published by Oxford University Press. All rights reserved.",
year = "2016",
month = dec,
doi = "10.1093/imrn/rnw006",
language = "English",
volume = "2016",
pages = "7589--7618",
journal = "International Mathematics Research Notices",
issn = "1073-7928",
publisher = "Oxford University Press",
number = "24",
}