The Dynamical Mordell-lang Conjecture
By Robert L. Benedetto, Dragos Ghioca, Pär Kurlberg, T. Tucker. 2007
104 citations recorded by the source corpus.
* Introduction* Background material* The dynamical Mordell-Lang problem* A geometric Skolem-Mahler-Lech theorem* Linear relations between points in polynomial orbits* Parametrization of orbits* The split case in the dynamical Mordell-Lang conjecture* Heuristics for avoiding ramification* Higher dimensional results* Additional results towards the dynamical Mordell-Lang conjecture* Sparse sets in the dynamical Mordell-Lang conjecture* Denis-Mordell-Lang conjecture* Dynamical Mordell-Lang conjecture in positive characteristic* Related problems in arithmetic dynamics* Future directions* Bibliography* Index
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/efd6540382eb46df55942cd8e1d912f378cbf206
How researchers see this paper
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In Discrete Mathematics and Combinatorics
- T. Tucker
- Michelle Manes
- Robert L. Benedetto
- Joseph H. Silverman
- Patrick Ingram
- Laura Demarco
- Rafe Jones
- Pär Kurlberg
In Geometry and Topology
- T. Tucker
- Robert L. Benedetto
- Laura Demarco
- Joseph H. Silverman
- Michelle Manes
- Rafe Jones
- Patrick Ingram
- Franccois Berteloot
Citations in the corpus
- Current trends and open problems in arithmetic dynamics (2018, background): “periodic subvarieties of dimension at least 1, then conjecturally the intersection Of(P) ∩Y is finite. There is an extensive literature proving various special cases of Conjecture 7.1; see for example [18, 36, 45, 84, 85, 86, 87, 91, 93, 144, 181, 217, 233, 234, 235, 237]. Here are two notable exampl”