THE DYNAMICAL MORDELL–LANG CONJECTURE FOR ENDOMORPHISMS OF SEMIABELIAN VARIETIES DEFINED OVER FIELDS OF POSITIVE CHARACTERISTIC

DOI10.1017/S1474748019000318zbMath1465.11150arXiv1802.05309OpenAlexW2964051154WikidataQ122884374 ScholiaQ122884374MaRDI QIDQ5854901

Umberto Zannier, Dragos Ghioca, Pietro Corvaja, Thomas J. Scanlon

Publication date: 12 March 2021

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.05309

zbMATH Keywords

dynamical Mordell-Lang problemendomorphisms of semiabelian varieties defined over fields of characteristic \(p\)

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Arithmetic dynamics on general algebraic varieties (37P55)

Related Items (10)

The orbit intersection problem in positive characteristic ⋮ A conjecture strengthening the Zariski dense orbit problem for birational maps of dynamical degree one ⋮ Zariski dense orbits for regular self-maps of split semiabelian varieties in positive characteristic ⋮ A fusion variant of the classical and dynamical Mordell-Lang conjectures in positive characteristic ⋮ Survey lecture on arithmetic dynamics ⋮ On sparsity of representations of polynomials as linear combinations of exponential functions ⋮ Intersections of orbits of self‐maps with subgroups in semiabelian varieties ⋮ Remarks on algebraic dynamics in positive characteristic ⋮ Zariski dense orbits for regular self-maps of tori in positive characteristic ⋮ A SPARSITY RESULT FOR THE DYNAMICAL MORDELL–LANG CONJECTURE IN POSITIVE CHARACTERISTIC

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