$A theta operator for the group $\mathrm{GSp}_4$$

A theta operator for the group $\mathrm{GSp}_4$

We construct a differential operator on sheaves of $p$-adic modular forms defined over the locus of $p$-rank $\ge 1$ 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 fo...

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Veröffentlicht in:	arXiv.org 2024-02
1. Verfasser:	Fiore, Leonardo
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Sprache:	eng
Schlagworte:	Analytic functions Differential equations Operators (mathematics) Sheaves
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description	We construct a differential operator on sheaves of $p$-adic modular forms defined over the locus of $p$-rank $\ge 1$ 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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title	A theta operator for the group $\mathrm{GSp}_4$
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A theta operator for the group \(\mathrm{GSp}_4\)