Pith. sign in

REVIEW 1 cited by

Modular Forms of weight 8 for $\Gamma_g(1,2)$

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 0811.2259 v2 pith:ZMSXEMXQ submitted 2008-11-14 math.NT hep-th

M. Oura , C. Poor , R. Salvati Manni , D. Yuen This is my paper · ORCID
classification math.NThep-th
keywords gammagenusansatzformslinearprogramweightanstaz
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We complete the program indicated by the Ansatz of D'Hoker and Phong in genus ~4 by proving the uniqueness of the restriction to Jacobians of the weight 8 Siegel cusp forms satisfying the Anstaz. We prove $\dim [\Gamma_4(1,2),8]_0=2$ and $\dim [\Gamma_4(1,2),8]=7$. In each genus, we classify the linear relations among the self-dual lattices of rank {16}. We extend the program to genus ~5 by constructing the unique linear combination of theta series that satisfies the Ansatz.

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. Genus 2 Superstring Chiral Measure From The 3-Dimensional Gelca-Hamilton TQFT

    hep-th 2024-11 conditional novelty 4.0 of 10

    Known one- and two-loop superstring chiral measures are restated as path integrals of the Gelca-Hamilton 3D TQFT over handlebodies, with modular transformations interpreted as bulk mapping class group moves.

Pith tools