Inter-universal geometry と ABC予想 (応援スレ) 49

[過去ﾛｸﾞ] Inter-universal geometry と ABC予想 (応援スレ) 49 (1002ﾚｽ)
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188: 現代数学の系譜 雑談 ◆yH25M02vWFhP  [sage] 2020/09/30(水) 23:12:59.29 ID:WPXiFBae

>>185 追加

１例：”In late September 2012, Vesselin Dimitrov and Akshay Venkatesh pointed out
to me, in e-mails, the possibility that the inequality of [IUTchIV], Theorem 1.10,
contradicts the examples constructed in [Mss].”とあって
これ、読めば分かるけど、その対応をコメントに残しているよ
つまり、筋の通った指摘には、ちゃんと対応しているってことですよ

参考
http://www.kurims.kyoto-u.ac.jp/~motizuki/news-japanese.html
望月 最新情報
2012年10月14日
　・（論文）次の論文のTheorem 1.10に関するコメントを掲載：
　　Inter-universal Teichmuller Theory IV: Log-volume Computations
　　　　and Set-theoretic Foundations.

http://www.kurims.kyoto-u.ac.jp/~motizuki/Inter-universal%20Teichmuller%20Theory%20IV%20(comments).pdf
COMMENTS ON [IUTCHIV], THEOREM 1.10
Shinichi Mochizuki
October 2012
(抜粋)
(1.) In late September 2012, Vesselin Dimitrov and Akshay Venkatesh pointed out
to me, in e-mails, the possibility that the inequality of [IUTchIV], Theorem 1.10,
contradicts the examples constructed in [Mss]. In fact, I had considered this issue
when I wrote [IUTchIV] ? cf. the discussion of [IUTchIV], Remark 2.3.2, (ii). At
the time I wrote [IUTchIV], I had not studied the proof given in [Mss] in detail.
However, the construction given in [Mss] is performed in such a way that there
is no apparent way to bound the contribution at the prime 2. Since the theory of
[IUTchI], [IUTchII], [IUTchIII], depends, in an essential way, on the theory of the
´etale theta function developed in [EtTh], which breaks down in an essential way
at the prime 2, the bound given in [IUTchIV], Theorem 1.10, does not involve the
contribution at the prime 2.
(引用終り)

http://rio2016.5ch.net/test/read.cgi/math/1600350445/188

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