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Kato explicit reciprocity law for Siegel modular forms of weight $(3, 3)$ (2504.18304v1)
Published 25 Apr 2025 in math.NT
Abstract: We extend Kato explicit reciprocity law, in the version written by Scholl, for a modular curve to a product of two modular curves. By embedding the product of two modular curves in the Siegel threefold, we deduce an explicit reciprocity law for the unique critical twist of the $p$-adic Galois representation attached to cuspidal Siegel modular forms of weight $(3,3)$.
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