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Inter-universal geometry と ABC予想 (応援スレ) 60



520 名前:.org/nlab/files/why_abc_is_still_a_conjecture.pdf
Why abc is still a conjecturePETER SCHOLZE AND JAKOB STIX Date: July 16, 2018.

2.1. Glossary
To facilitate the discussion, we will describe (only) the notions that are strictly relevant to explain what we regard as the error. This will involve certain radical simplifications, and it might be argued that such simplifications strip away all the interesting mathematics that forms the core of Mochizuki’s proof.

P10
Thus, Mochizuki wanted to introduce scalars of j^2 somewhere on the left part of thisdiagram (which strictly speaking leads to inconsistencies, i.e. monodromy, on the left part of thediagram alone, which arguably can be overcome by using averages). However, it is clear thatthis will result in the whole diagram having monodromy j^2, i.e., being inconsistent.The conclusion of this discussion is that with consistent identifications of copies of real num-bers, one must in (1.5) omit the scalars j^2 that appear, which leads to an empty inequality.
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