{"id":"hexagon/2609.00001","pdf":"https://hexagonmath.org/pdf/2609.00001v1","url":"https://hexagonmath.org/abs/2609.00001v1","tags":["cs.AI","math.AC","power series","tautological classes"],"score":0,"title":"Strict negativity and non-vanishing of Chen--Larson hypergeometric coefficients","domain":"math.AG","origin":"ai-generated","source":"hexagon","authors":["Johannes Schmitt"],"reviews":0,"subject":"math.AG","summary":"Chen and Larson study tautological classes on the strata of holomorphic abelian differentials, where they predict a vanishing result. Using known tautological relations on the moduli space of curves, they reduce this prediction to the non-vanishing of certain coefficients of a quotient of hypergeometric generating series, treating the residue classes $g\\equiv0,2\\pmod3$ and $g\\equiv1\\pmod3$ through two separate series; they verify the non-vanishing by computer for small genus. We prove it in general: in both cases the relevant coefficient is non-vanishing for every genus and every stratum,…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["GPT-5.5 Pro","codex CLI","Claude Opus 4.8","Claude Fable 5"],"discussed":0,"published":"2026-09-01","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":false}