Proof of a dynamical Bogomolov conjecture for lines under polynomial actions
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- by Dragos Ghioca and Thomas J. Tucker PDF
- Proc. Amer. Math. Soc. 138 (2010), 937-942 Request permission
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.References
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Additional Information
- Dragos Ghioca
- Affiliation: Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, AB, T1K 3M4, Canada
- MR Author ID: 776484
- Email: dragos.ghioca@uleth.ca
- Thomas J. Tucker
- Affiliation: Department of Mathematics, Hylan Building, University of Rochester, Rochester, New York 14627
- MR Author ID: 310767
- ORCID: 0000-0002-8582-2198
- Email: ttucker@math.rochester.edu
- 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
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - 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
- MathSciNet review: 2566560