14 citations · 24 across the 14 of their papers we have counts for
7 papers · 1 filter
The Hessian of elliptic curves as a Lattès map
Marzio Mula, Federico Pintore, Daniele Taufer
We prove that the Hessian transformation of elliptic curves, both as an action on -invariants and on the Hesse pencil, is a rigid Lattès map fitting into a reduced diagram, henc…
Elliptic curves over Hasse pairs
Eleni Agathocleous, Antoine Joux, Daniele Taufer
We call a pair of distinct prime powers a Hasse pair if . For such pairs, we study the relation between the set…
Multiplication polynomials for elliptic curves over finite local rings
Riccardo Invernizzi, Daniele Taufer
For a given elliptic curve over a finite local ring, we denote by its subgroup at infinity. Every point can be described solely in terms of its…
First-degree prime ideals of composite extensions
Giordano Santilli, Daniele Taufer
Let and be linearly disjoint number fields and let be their compositum. We prove that the first-degree prime ideals of $\mathbb{Z}[θ…
Normal and pseudonormal numbers
Nicolò Cangiotti, Daniele Taufer
After a short review of the historical milestones on normal numbers, we introduce the Borel numbers as the reals admitting a probability function on their different bases represent…
The group structure of elliptic curves over Z/NZ
Massimiliano Sala, Daniele Taufer
We characterize the possible groups arising from elliptic curves over in terms of the groups , with varyin…
First-Degree Prime Ideals of Biquadratic Fields dividing prescribed Principal Ideals
Giordano Santilli, Daniele Taufer
We describe first-degree prime ideals of biquadratic extensions in terms of first-degree prime ideals of two underlying quadratic fields. The identification of the prime divisors i…