Density of orbits of dominant regular self-maps of semiabelian varieties

DOI10.1090/tran/7475zbMath1457.14052arXiv1708.06221OpenAlexW2964295190MaRDI QIDQ4633623

Matthew Satriano, Dragos Ghioca

Publication date: 3 May 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.06221

Mathematics Subject Classification ID

Rational points (14G05) Abelian varieties of dimension (> 1) (11G10) Rational and birational maps (14E05)

Related Items (11)

Algebraic dynamics of skew-linear self-maps ⋮ Zariski dense orbits for regular self-maps on split semiabelian varieties ⋮ Rational endomorphisms of codimension one holomorphic foliations ⋮ A conjecture strengthening the Zariski dense orbit problem for birational maps of dynamical degree one ⋮ Periodic subvarieties of semiabelian varieties and annihilators of irreducible representations ⋮ Surjective endomorphisms of projective surfaces: the existence of infinitely many dense orbits ⋮ Zariski dense orbits for regular self-maps of split semiabelian varieties 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 regular self-maps of tori in positive characteristic ⋮ Zariski dense orbits for endomorphisms of a power of the additive group scheme defined over finite fields

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