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Arithmetic intersections on non-split Cartan modular curves

math.NT · 2026-04-08 · unverdicted · novelty 7.0

Arithmetic intersection numbers of CM divisors on X_ns^+(p) are determined at all finite primes when p is inert, via a new moduli interpretation of the smooth locus in the regular integral model.

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  • Arithmetic intersections on non-split Cartan modular curves math.NT · 2026-04-08 · unverdicted · none · ref 6

    Arithmetic intersection numbers of CM divisors on X_ns^+(p) are determined at all finite primes when p is inert, via a new moduli interpretation of the smooth locus in the regular integral model.