Pith. sign in

REVIEW 1 cited by

Moduli spaces of flat tori and elliptic hypergeometric functions

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 1605.02356 v2 pith:O6FN23DA submitted 2016-05-08 math.AG math.GTmath.MG

Selim Ghazouani , Luc Pirio This is my paper
classification math.AGmath.GTmath.MG
keywords flatmodulisomespacesdeligne-mostowfunctionshypergeometricmethods
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

In the genus one case, we make explicit some constructions of Veech on flat surfaces and generalize some geometric results of Thurston about moduli spaces of flat spheres as well as some equivalent ones but of an analytico-cohomological nature of Deligne-Mostow, which concern the monodromy of Appell-Lauricella hypergeometric functions. In the twin paper arXiv:1604.01812, we follow Thurston's approach and study moduli spaces of flat tori with conical singularities and prescribed holonomy by means of geometrical methods relying on surgeries for flat surfaces. In the present paper, we study the same objects making use of analytical and cohomological methods, more in the spirit of Deligne-Mostow's paper.

Discussion (0). Sign in to comment.

Forward citations

Cited by 1 Pith paper

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

  1. A double copy from twisted (co)homology at genus g

    hep-th 2025-09 conditional novelty 7.0 of 10

    A double-copy (KLT-type) formula for genus-g hypergeometric integrals is derived from twisted homology intersection numbers and verified numerically at genus two.

Pith tools