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Why the Szpiro Conjecture is Still a Conjecture

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In documents released in September 2018, Scholze–Stix claimed the key Lemma 3.12 of Mochizuki's third Inter-Universal Teichmüller Theory (IUTT) paper reduced to a trivial inequality under certain harmless simplifications, invalidating the claimed proof. [...] Mochizuki agreed with the conclusion that under the given simplifications the result became trivial, but not that the simplifications were harmless.

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  1. Sep 11, 2026Entered the graphEntered the graph; no copy stored