135 citations
- University of RochesterUS3 papers
- Indian Association for the Cultivation of ScienceIN2 papers
- Max Planck Institute for Gravitational PhysicsDE2 papers
- Max Planck SocietyDE2 papers
- Oklahoma State UniversityUS2 papers
- Academy of AthensGR1 paper
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- Centre National de la Recherche ScientifiqueFR1 paper
- Consejo Superior de Investigaciones CientíficasES1 paper
- École Normale Supérieure - PSLFR1 paper
- Harish-Chandra Research InstituteIN1 paper
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math.NT2008
Proof of a dynamical Bogomolov conjecture for lines under polynomial actions
Dragos Ghioca, Thomas J. Tucker
We prove a dynamical version of the Bogomolov conjecture in the special case of lines in affine space A^m under the action of a map (f_1,...,f_m) where each f_i is a polynomial in…
math.NT2008★ 1 cited
Periodic points, linearizing maps, and the dynamical Mordell-Lang problem
Dragos Ghioca, Thomas J. Tucker
We prove a dynamical version of the Mordell-Lang conjecture for subvarieties of quasiprojective varieties X, endowed with the action of a morphism f:X --> X. We use an analytic met…
math.NT2007
Siegel's theorem for Drinfeld modules
Dragos Ghioca, Thomas J. Tucker
We prove an analog of Siegel's theorem for integral points in the context of Drinfeld modules. The result holds for finitely generated submodules of the additive group over a funct…