Pith. sign in

REVIEW 1 cited by

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

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2402.02524 v1 pith:N5FXNFDP submitted 2024-02-04 math.NT

classification math.NT
keywords operatoradicconstructformsmodularthetaactionapplying
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. $p$-adic Maass--Shimura operators on $\mu$-ordinary Igusa varieties

    math.NT 2026-07 accept novelty 7.0 of 10

    The authors construct a canonical formal group action on μ-ordinary Igusa varieties for Hodge type Shimura data that integrates Maass-Shimura operators and, via p-adic Fourier theory, yields a unified algebra action e...

Pith tools