Franche-Comté Électronique Mécanique Thermique et Optique

output

20022026

most citedInstabilities, breathers and rogue waves in optics

967 citations

researchers with a paper here

collaborating institutions

Showing math.NTShow all

20 papers · 1 filter

math.NT2026

Construction Of Non-Odd Galois Representations With Large Image

Donghyeok Lim, Christian Maire

In this work, we construct Galois representations with large image that are not GL r -odd (or, equivalently, not regular at infinity). More precisely, for every prime p {\v e} 3, e…

math.NT2026

Indivisibility of ray class groups of real quadratic fields

Emmanuel Lecouturier, Christian Maire

Let $ℓ$ , p $\geq$ 5 be primes such that p | ( $ℓ$ -1). Let $Δ$ > 0 be the fundamental discriminant of a real quadratic field in which $ℓ$ splits. We denote by h - ${\e…

math.NT2025

Massey products and unipotent extensions with restricted ramification

Oussama Hamza, Donghyeok Lim, Christian Maire

We fix a prime p and construct new cases of pro-p extensions of number fields with restricted ramification and splitting, whose Galois groups decompose as coproducts of pro-p absol…

math.NT2025

On s-split p-Hilbert class field towers with prescribed Galois groups

Christian Maire, Karim Sankara

In this work, we show that given a finite p-group G, a number field K having a trivial p-class group Cl K , and a finite set of primes S of K, there exists a finite extension F/K s…

math.NT2024

On the strong Massey property for number fields

Christian Maire, Ján Mináč, Ravi Ramakrishna +1

Let $n \geq 3$ . We show that for every number field $K$ with $ζ_{p} \in / K$ , the absolute and tame Galois groups of $K$ satisfy the strong $n$ -fold Massey property relative to $p$ .…

math.NT2024

On tamely ramified infinite Galois extensions

Farshid Hajir, Michael Larsen, Christian Maire +1

For a number field $K$ , we consider $K^{ta}$ the maximal tamely ramified algebraic extension of~ $K$ , and its Galois group $G_{K}^{ta} = G a l (K^{t a} / K)$ . Choose a prime $p$ such…