Béranger Seguin

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20222026

most citedStudy of a division-like property

1 citations · 1 across the 10 of their papers we have counts for

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math.NT2026

Twisted Artin-Schreier Theory I: $(C_{p} ⋊ C_{p - 1})$ -extensions of local function fields

Béranger Seguin

Over any field $K$ of characteristic $p$ , we parametrize the $(C_{p} ⋊ C_{p - 1})$ -extensions of $K$ using pairs of elements $(g, a) \in K \times K^{\times}$ , via a "twisted" variant…

math.NT2026

Lifts of unramified twists and local-global principles

Fabian Gundlach, Béranger Seguin

We prove that two-step nilpotent $p$ -extensions of rational global function fields of characteristic $p$ satisfy a quantitative local-global principle when they are counted accordi…

Twisted Artin-Schreier Theory I: (Cp​⋊Cp−1​)-extensions of local function fields

Lifts of unramified twists and local-global principles

Twisted Artin-Schreier Theory I: $(C_{p} ⋊ C_{p - 1})$ -extensions of local function fields