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
Fixed points and entropy of endomorphisms on simple abelian varieties
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DOI: 10.1016/j.jalgebra.2018.09.018
Abstract: In this paper we investigate fixed-point numbers and entropies of endomorphisms on abelian varieties. It was shown quite recently that the number of fixed-points of an iterated endomorphism on a simple complex torus is either… read more here.
Keywords: number; points entropy; fixed points; simple abelian ... See more keywords