Mixed Ax-Schanuel for the universal abelian varieties and some applications

Ziyang Gao

Mixed Ax-Schanuel for the universal abelian varieties and some applications

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 1806.01408 v2 pith:Z7CTLTJ6 submitted 2018-06-04 math.NT math.AG

Ziyang Gao This is my paper · ORCID

classification math.NTmath.AG

keywords mixedabelianapplicationsax-schanuelsomeuniversalvarietiesapplication

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

In this paper we prove the mixed Ax-Schanuel theorem for the universal abelian varieties (more generally any mixed Shimura variety of Kuga type), and give some simple applications. In particular we present an application to studying the generic rank of the Betti map.

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

On the Zilber-Pink conjecture for complex abelian varieties
math.NT 2019-09 accept novelty 7.0 of 10

The Zilber-Pink conjecture for abelian varieties over arbitrary algebraically closed fields of characteristic 0 is reduced to the conjecture over the algebraic numbers, and is proved for subvarieties of defect at most...

Pith tools