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A theta operator for the group GSp4

2024/02/04 by Fiore, Leonardo
#11F33 #11F80 #11F85 #11G18 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2402.02524

Abstract

We construct a differential operator on sheaves of p-adic modular forms defined over the locus of p-rank ≥ 1 of the Siegel threefold, by applying a revisited version of the approach that Sean Howe recently introduced in his paper "A unipotent circle action on p-adic modular forms" (2020, Trans. Am. Math. Soc.) to construct the theta operator in the elliptic case.

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