Periodic points, linearizing maps, and the dynamical Mordell-Lang problem |
| |
Authors: | D. Ghioca |
| |
Affiliation: | a Department of Mathematics & Computer Science, University of Lethbridge, Lethbridge, AB T1K 3M4 Canada b Department of Mathematics, Hylan Building, University of Rochester, Rochester, NY 14627, USA |
| |
Abstract: | Under suitable hypotheses, we prove a dynamical version of the Mordell-Lang conjecture for subvarieties of quasiprojective varieties X, endowed with the action of a morphism . We also prove a version of the Mordell-Lang conjecture that holds for any endomorphism of a semiabelian variety. We use an analytic method based on the technique of Skolem, Mahler, and Lech, along with results of Herman and Yoccoz from nonarchimedean dynamics. |
| |
Keywords: | primary, 14K12 secondary, 37F10 |
本文献已被 ScienceDirect 等数据库收录! |
|