Dynamical degrees of automorphisms on abelian varieties
Sign Up to like & getrecommendations! Published in 2021 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2021.108082
Abstract: For any given Salem number, we construct an automorphism on a simple abelian variety whose first dynamical degree is the square of the Salem number. Our construction works for both simple abelian varieties with totally… read more here.
Keywords: simple abelian; abelian varieties; automorphisms abelian; dynamical degrees ... See more keywords
Dynamical degrees of automorphisms of K3 surfaces with Picard number 2
Sign Up to like & getrecommendations! Published in 2024 at "Communications in Algebra"
DOI: 10.1080/00927872.2025.2565688
Abstract: We show that there exists an automorphism of a projective K3 surface with Picard number $2$ such that the trace of its action on the Picard lattice is $3$. Together with a result of K.… read more here.
Keywords: number; dynamical degrees; surfaces picard; picard number ... See more keywords