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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…
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Keywords:
simple abelian;
abelian varieties;
automorphisms abelian;
dynamical degrees ... See more keywords
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Published in 2018 at "International Mathematics Research Notices"
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…
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Keywords:
dynamical degrees;
cubic fourfolds;
degrees reflections;
reflections cubic ... See more keywords