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math.NT2025
Explicit Uniform Lower Bounds for the Canonical Height on Elliptic Curves over Abelian Extensions
Jonathan Jenvrin
We establish an explicit lower bound for the Néron-Tate height on elliptic curves with complex multiplication, for nontorsion points defined over the maximal abelian extension of…
math.NT2025
On a local property of infinite Galois extensions implying the Northcott property
Jonathan Jenvrin
In 2001, Bombieri and Zannier studied the Northcott property (N) for infinite Galois extensions of the rationals. In particular they provided a local property of the extensions tha…
math.NT2024
On the height of some generators of galois extensions with big galois group
Jonathan Jenvrin
We study the height of generators of Galois extensions of the rationals having the alternating group as Galois group. We prove that if such generators are obtained…
math.NT2024
Explicit lower bounds for the height in Galois extensions of number fields
Jonathan Jenvrin
Amoroso and Masser proved that for every real , there exists a constant , such that for every algebraic number with being a Galois…