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April 23, 2026International Journal of Number Theory0 citations

A theta operator for the group GSp 4

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LFLeonardo FioreUniversity of Milan

Key Points

  • The research aims to construct a differential operator on sheaves of p-adic modular forms using an innovative approach for the GSp group.
  • Applied a revised method based on S. Howe's work in constructing a theta operator for elliptic cases.
  • Focused on the locus of p-rank greater than or equal to 1 on the Siegel threefold.
  • Successfully defined a new differential operator for p-adic modular forms.
  • Built upon existing frameworks to expand the mathematical understanding of differential operators.

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 S. Howe recently introduced in 7 to construct the theta operator in the elliptic case.

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Cite This Study

Leonardo Fiore (2026) studied this question.

synapsesocial.com/papers/69e9bb6285696592c86ed12ehttps://doi.org/10.1142/s1793042126500831
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