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https://www.kurims.kyoto-u.ac.jp/~motizuki/Anabelioid%20no%20kikagaku%20(Meijidai%202002-03).pdf
Anabelioidの幾何学 望月新一（京都大学数理解析研究所）2002年3月
P2 大域的な乗法的部分群スキームを、元々の作業の場としていた集合論的な‘宇宙'
において構成することをひとまず諦め、全く別の、独立な宇宙における、
元の対象たちE､F、K等のコピーE◎､F◎、K◎に対する乗法的部分群スキームの構成を目指す

＜IUTのコピーとラベルの話＞
(参考)
１）（SCHOLZE氏は ラベルが無意味だと主張するが・・）
https://www.math.uni-bonn.de/people/scholze/WhyABCisStillaConjecture.pdf
Why abc is still a conjecture PETER SCHOLZE AND JAKOB STIX
Date: July 16, 2018.
P4
2.1.Glossary: IUTT-terminology and how we may think of these objects.
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 awayall the interesting mathematics that forms the core of Mochizuki’s proof.

２）次に Kirti Joshi で、Joshiの SCHOLZE文書批判を読むべし
https://arxiv.org/pdf/2505.10568
[Submitted on 29 Apr 2025]
Final Report on the Mochizuki-Scholze-Stix Controversy
Kirti Joshi
This report provides my mathematical findings regarding the Mochizuki-Scholze-Stix controversy surrounding Mochizuki's Inter-Universal Teichmüller Theory.

３）さらに 望月氏の反論を読む
https://www.kurims.kyoto-u.ac.jp/~motizuki/papers-japanese.html
[9] On the Essential Logical Structure of Inter-universal Teichmuller Theory in Terms of Logical AND "∧"/
　　Logical OR "∨" Relations: Report on the Occasion of the Publication of the Four Main Papers on
　　Inter-universal Teichmuller Theory. PDF NEW!! (2024-03-24) https://www.kurims.kyoto-u.ac.jp/~motizuki/Essential%20Logical%20Structure%20of%20Inter-universal%20Teichmuller%20Theory.pdf

４）その上で 下記にも 目を通してね
https://math.arizona.edu/~kirti/
My reports on the Mochizuki-Scholze-Stix Controversy
・Provisional Report (June 2024) [Written after extensive correspondence (in May-June 2024) with Peter Scholze and it provides robust conclusions regarding the invalidity of the Scholze-Stix Report, but because Mochizuki was objecting to my work (in March 2024), I did not provide any conclusion on the proof of the abc-conjecture. This report also contains a time-line of events leading upto this report.]

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