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On intersections of polynomial semigroups orbits with plane lines

Part of: Arithmetic problems. Diophantine geometry Polynomials and matrices

Published online by Cambridge University Press:  17 July 2020

Jorge Mello
Jorge Mello*
Affiliation:
University of New South Wales, School of Mathematics and Statistics, UNSW Sydney, NSW2052, Australia
*
e-mail: j.mello@unsw.edu.au
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Abstract

We study intersections of orbits in polynomial semigroup dynamics with lines on the affine plane over a number field, extending previous work of D. Ghioca, T. Tucker, and M. Zieve (2008).

Keywords

Polynomial semigroup dynamicsunlikely intersections in arithmetic dynamics

MSC classification

Primary: 11C08: Polynomials 14G25: Global ground fields
Type
Article
Information
Canadian Mathematical Bulletin , Volume 64 , Issue 2 , June 2021 , pp. 442 - 451
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Copyright
© Canadian Mathematical Society 2020

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Footnotes

The author’s work was supported by the ARC Discovery Grant DP180100201 and UNSW.

References

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