Dynamical degrees of automorphisms on abelian varieties

DOI10.1016/j.aim.2021.108082zbMath1497.11157arXiv2007.01914OpenAlexW3217358988MaRDI QIDQ2065933

Nguyen-Bac Dang, Thorsten Herrig

Publication date: 13 January 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.01914

zbMATH Keywords

abelian varietiesautomorphismsSalem numbersquaternion algebrasdynamical degrees

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Algebraic theory of abelian varieties (14K05) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Higher-dimensional holomorphic and meromorphic dynamics (37F80)

Cites Work

• Fixed points of endomorphisms on two-dimensional complex tori
• Salem numbers in dynamics on Kähler threefolds and complex tori
• Hyperbolic measure of maximal entropy for generic rational maps of \(\mathbb P^k\)
• Salem numbers and automorphisms of abelian surfaces
• Preperiodic points and unlikely intersections
• Algebraic integers on the unit circle
• Meromorphic fibrations on certain manifolds with trivial canonical bundle
• Volume growth and entropy
• Arithmétique des algèbres de quaternions
• Ergodic theory. Introductory lectures
• Fixed-point free automorphisms of abelian varieties
• The dynamical Manin-Mumford problem for plane polynomial automorphisms
• On the entropy of holomorphic maps
• Holomorphic Anosov systems
• Fixed points and entropy of endomorphisms on simple abelian varieties
• Salem numbers and automorphisms of complex surfaces
• Fixed points of endomorphisms of complex tori
• Minimum positive entropy of complex Enriques surface automorphisms
• Dynamics of bimeromorphic maps of surfaces
• Dynamics on K3 surfaces: Salem numbers and Siegel disks
• Dynamical degrees of birational transformations of projective surfaces
• Density of orbits of endomorphisms of abelian varieties
• Simple Abelian Varieties and Primitive Automorphisms of Null Entropy of Surfaces
• The third smallest Salem number in automorphisms of K3 surfaces
• Entropy of meromorphic maps and dynamics of birational maps
• K3 surfaces, entropy and glue
• Towards a Dynamical Manin-Mumford Conjecture
• The Dynamical Degrees of a Mapping
• Super-potentials for currents on compact Kähler manifolds and dynamics of automorphisms
• Polynomial Diffeomorphisms of C 2 . II: Stable Manifolds and Recurrence
• Cohomological Conditions on Endomorphisms of Projective Varieties
• Green currents for holomorphic automorphisms of compact Kähler manifolds
• On automorphisms of Enriques surfaces and their entropy
• Quaternion Algebras
• Algebraic Number Theory
• Pisot Units, Salem Numbers, and Higher Dimensional Projective Manifolds with Primitive Automorphisms of Positive Entropy
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