Towards a dynamical Manin–Mumford conjecture

D Ghioca, TJ Tucker, S Zhang - … Mathematics Research Notices, 2011 - academic.oup.com
D Ghioca, TJ Tucker, S Zhang
International Mathematics Research Notices, 2011academic.oup.com
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.
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.
Oxford University Press
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