We provide a family of counterexamples to a first formulation of the dynamical Manin-Mumford conjecture. We propose a revision of this conjecture and prove it for arbitrary subvarieties of Abelian varieties under the action of group endomorphisms and for lines under the action of diagonal endomorphisms of ℙ1 × ℙ1.
|Original language||English (US)|
|Number of pages||14|
|Journal||International Mathematics Research Notices|
|State||Published - 2011|
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