>>269 関連

望月 Corollary 3.12 に関する箇所抜粋下記の通り
望月 Corollary 3.12 を完全に導くことはできていないが、類似の構造はできたとしていると読んだ
(下記”as [Mochizuki, 2021c, Corollary 3.12]. Importantly, Theorem 10.1.1 is still local (i.e. takes
place at a single prime), but it can be globalized, i.e. adelized, quite easily in the presence of
a number field using the adelic arithmetic Teichmuller spaces of [Joshi, 2021a]-but this adelic version is not treated here.”)

Corollary 3.12 を完全に導くことはできていないが、可能性は大きいと思う
かつ、ショルツェ氏のIUT全面否定の主張とは、真逆だ
私は、Kirti Joshiが正しいと思う
(まだ、望月Cor3.12を導くことはできていないが、類似構造を別の筋で証明できているから、望月Cor3.12が全く無意味というショルツェ氏の主張はへんw)

PDF
https://arxiv.org/pdf/2111.04890
Construction of Arithmetic Teichmuller spaces II:
Towards Diophantine Estimates
Preliminary version for comments
Kirti Joshi
November 10, 2021
P3
§ 1.6 For an introduction to the set constructed by Mochizuki’s [Mochizuki, 2021c, Corollary 3.12] and how a bound on its size has deep Diophantine consequences, readers may also see
other discussions of [Mochizuki, 2021c, Corollary 3.12] for example [Tan, 2018], [Yamashita,
2019], [Dupuy and Hilado, 2020b]. Note that in [Dupuy and Hilado, 2020b], Mochizuki’s Corollary 3.12 is stated as Conjecture 1.0.1.

つづく