trailThe simplifying identifications in Scholze and Stix's analysis are essential to their objection to Corollary 3.12.
Scholze and Stix's objection to Mochizuki's IUT proof rests on wrongly identifying objects the theory treats as distinct.
Substantive distinctions· for
The distinctions IUT draws between isomorphic copies of objects carry essential mathematical content.
Mochizuki's IUT papers establish the existence of distinct arithmetic holomorphic structures.
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Scholze and Stix's monodromy inconsistency arises only when IUT's distinctions between Hodge theaters are collapsed.
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Kirti Joshi's arithmetic Teichmüller theory establishes the existence of distinct arithmetic holomorphic structures.
shared · shown elsewhere
Trackable isomorphisms· against
Mochizuki has not identified a specific step in Scholze and Stix's argument that fails without their simplifications.
atomic
Mochizuki's rebuttals to Scholze and Stix have not persuaded arithmetic geometers outside his circle.
shared · shown elsewhere
assumed
Scholze and Stix's analysis of IUT identifies isomorphic copies of mathematical objects that Mochizuki's theory treats as distinct.
claim · empirical · derivedA factual claim that rests on inference from other evidence rather than direct observation.constitution →claim page ↗︎
The simplifying identifications in Scholze and Stix's analysis are essential to their objection to Corollary 3.12.
✕ContradictedAvailable evidence weighs against the claim.constitution →credence 0.20Credence, from 0 to 1: the Steward's probability that the claim, as stated, is true. Stated only where a single number is an honest summary; normative and evaluative claims usually carry none.constitution →
1depended on by
this rests on ↓
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