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The Hessian of elliptic curves as a Lattès map

Mula, Marzio et al.
arXiv (All) · Papers
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14h52algebraic-geometrycommutative-algebradynamical-systemsnumber-theory
We prove that the Hessian transformation of elliptic curves, both as an action on $j$-invariants and on the Hesse pencil, is a rigid Lattès map fitting into a reduced diagram, hence it lifts to a degree-$3$ endomorphism $ψ$ of a prescribed elliptic curve $E$. This result provides an effective tool t
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