Dynamical degrees of automorphisms on abelian varieties
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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
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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
On the dynamical degrees of reflections on cubic fourfolds
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DOI: 10.1093/imrn/rnw311
Abstract: We compute the dynamical degrees of certain compositions of reflections in points on a smooth cubic fourfold. Our interest in these computations stems from the irrationality problem for cubic fourfolds. Namely, we hope that they… read more here.
Keywords: dynamical degrees; cubic fourfolds; degrees reflections; reflections cubic ... See more keywords