Zariski dense orbits for regular self-maps of tori in positive characteristic

zbMath1490.14077MaRDI QIDQ2075849

Sina Saleh, Dragos Ghioca

Publication date: 16 February 2022

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://nyjm.albany.edu/j/2021/27-49.html

zbMATH Keywords

Medvedev-Scanlon conjectureZariski dense orbitsMordell-Lang theorem in positive characteristic for tori

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields for abelian varieties (14K15)

Related Items (6)

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 ⋮ Rational self-maps with a regular iterate on a semiabelian variety ⋮ Remarks on algebraic dynamics in positive characteristic ⋮ Zariski dense orbits for endomorphisms of a power of the additive group scheme defined over finite fields

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