Pith. sign in

REVIEW 2 cited by

Modularity of generating series of divisors on unitary 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 1702.07812 v3 pith:XKNDWYAF submitted 2017-02-25 math.NT math.AG

Jan Bruinier , Benjamin Howard , Stephen S. Kudla , Michael Rapoport , Tonghai Yang This is my paper · ORCID
classification math.NTmath.AG
keywords groupchowdivisorsgeneratingintegralmodelmodularityseries
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We form generating series of special divisors, valued in the Chow group and in the arithmetic Chow group, on the compactified integral model of a Shimura variety associated to a unitary group of signature (n-1,1), and prove their modularity. The main ingredient of the proof is the calculation of the vertical components appearing in the divisor of a Borcherds product on the integral model.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

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

  1. Weil representation and Arithmetic Fundamental Lemma

    math.NT 2019-09 conditional novelty 8.0 of 10

    A global proof of the arithmetic fundamental lemma for unitary groups over Q_p (odd p >= n) via an SL_2-equivariant relative trace formula and derived CM cycles, which also yields the Jacquet-Rallis fundamental lemma ...

  2. Remarks on generating series for special cycles

    math.NT 2019-08 conditional novelty 7.0 of 10

    Assuming the Bloch-Beilinson conjecture, the Chow group valued generating series for special cycles on orthogonal Shimura varieties over totally real fields is modular in all codimensions and for all d_+.

Pith tools