Pith. sign in

REVIEW 1 cited by

Derived special cycles on Shimura varieties

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

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 2212.12849 v3 pith:APP4C6LN submitted 2022-12-25 math.NT math.AG

Keerthi Madapusi This is my paper · ORCID
classification math.NTmath.AG
keywords shimuravarietiesconstructioncyclesderivedgivekudlaspecial
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

I employ methods from derived algebraic geometry to give a uniform moduli-theoretic construction of special cycle classes on integral models many Shimura varieties of Hodge type, including unitary, quaternionic, and orthogonal Shimura varieties. All desired properties of these cycles, even for those corresponding to degenerate Fourier coefficients under the Kudla correspondence, follow naturally from the construction. I formulate Kudla's modularity conjectures in this general framework, and give some preliminary evidence towards their validity.

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. Modularity of Higher Theta Series III: Proof of the Modularity Conjecture

    math.NT 2026-08 conditional novelty 8.0 of 10

    The higher theta series on Hermitian shtukas are shown to be modular, independent of the chosen Lagrangian, with a stronger supermodularity result for general linear groups.

Pith tools