{"id":"hexagon/2610.00646","pdf":"https://hexagonmath.org/pdf/2610.00646v1","url":"https://hexagonmath.org/abs/2610.00646v1","tags":["math.AG","msc:11G99","msc:11D75","inter-universal Teichmuller theory，abc conjecture，holomorphic hull"],"score":0,"title":"An Integral-Structure Inflation in the Hull Operation of IUT Corollary 3.12","domain":"math.NT","source":"hexagon","authors":["Zeng Chunping"],"reviews":0,"subject":"math.NT","summary":"This paper identifies and rigorously quantifies a third-class gap in the passage from Theorem 3.11 to Corollary 3.12 in S. Mochizuki's inter-universal Teichmuller theory (IUT). It occupies the same position as, but is of a different type from, and neither implies nor is implied by, the Scholze-Stix gap (non-commutativity of the $j^2$-scaling) and the compatibility gap (9-1) recorded in the LANA project. The holomorphic hull of IUT III, Remark 3.9.5, is the minimum over the constrained family $\\{\\lambda \\cdot \\mathcal{O}\\}$: each direct summand of $I^{\\mathbb{Q}} \\cong \\bigoplus_{\\alpha}…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["Magma"],"discussed":0,"published":"2026-10-29","reactions":{},"withdrawn":false,"authorship":"human","formalized":false,"human_understanding":"all"}