Density of orbits of endomorphisms of abelian varieties

DOI10.1090/tran6648zbMath1354.11045arXiv1412.2029OpenAlexW2039609128MaRDI QIDQ2826766

Dragos Ghioca, Thomas J. Scanlon

Publication date: 18 October 2016

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

Full work available at URL: https://arxiv.org/abs/1412.2029

zbMATH Keywords

abelian varietiesrational fibrationdominant endomorphisms

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Global ground fields in algebraic geometry (14G25)

Related Items (16)

On endomorphisms of projective varieties with numerically trivial canonical divisors ⋮ Algebraic dynamics of skew-linear self-maps ⋮ Zariski dense orbits for regular self-maps on split semiabelian varieties ⋮ 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 ⋮ Invariant curves for endomorphisms of \(\mathbb{P}^1 \times \mathbb{P}^1\) ⋮ Density of orbits of dominant regular self-maps of semiabelian varieties ⋮ Arithmetic and dynamical degrees on abelian varieties ⋮ Dynamical degrees of automorphisms on abelian varieties ⋮ 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 ⋮ Potential density of projective varieties having an int-amplified endomorphism

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Dixmier-Moeglin equivalence for twisted homogeneous coordinate rings.
• Meromorphic fibrations on certain manifolds with trivial canonical bundle
• Invariant varieties for polynomial dynamical systems
• Algebraic matric groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations
• Remarks on endomorphisms and rational points
• Field Arithmetic
• On a dynamical version of a theorem of Rosenlicht
• Abelian varieties and Galois extensions of Hilbertian fields
• Applications of p-Adic Analysis for Bounding Periods of Subvarieties Under Etale Maps

This page was built for publication: Density of orbits of endomorphisms of abelian varieties