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Proof of a dynamical Bogomolov conjecture for lines under polynomial actions


Authors: Dragos Ghioca and Thomas J. Tucker
Journal: Proc. Amer. Math. Soc. 138 (2010), 937-942
MSC (2010): Primary 37P05; Secondary 14G25, 11C08
DOI: https://doi.org/10.1090/S0002-9939-09-10182-X
Published electronically: October 20, 2009
MathSciNet review: 2566560
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Abstract: We prove a dynamical version of the Bogomolov conjecture in the special case of lines in $ \mathbb{A}^m$ under the action of a map $ (f_1,\dots,f_m)$, where each $ f_i$ is a polynomial in $ \overline{\mathbb{Q}}[X]$ of the same degree.


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Additional Information

Dragos Ghioca
Affiliation: Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, AB, T1K 3M4, Canada
Email: dragos.ghioca@uleth.ca

Thomas J. Tucker
Affiliation: Department of Mathematics, Hylan Building, University of Rochester, Rochester, New York 14627
Email: ttucker@math.rochester.edu

DOI: https://doi.org/10.1090/S0002-9939-09-10182-X
Received by editor(s): October 22, 2008
Received by editor(s) in revised form: May 1, 2009
Published electronically: October 20, 2009
Additional Notes: The first author was partially supported by NSERC
The second author was partially supported by NSA Grant 06G-067 and NSF Grant DMS-0801072.
Communicated by: Ted Chinburg
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.