Christian Maire

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20232026

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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…