Inter-universal geometry と ABC予想 (応援スレ) 52

[過去ﾛｸﾞ] Inter-universal geometry と ABC予想 (応援スレ) 52 (1002ﾚｽ)
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133: １３２人目の素数さん [] 2021/02/23(火) 11:38:48.44 ID:RLePkY5e

>>131
> 3．[EtTh]からIUTを全部見直しています

下記ですね
”[EtTh] S. Mochizuki, The Etale Theta Function and its Frobenioid-theoretic Manifestations, Publ. Res. Inst. Math. Sci. 45 (2009), pp. 227-349.”です

（参考）
http://www.kurims.kyoto-u.ac.jp/~motizuki/papers-japanese.html
望月 遠アーベル幾何、圏の幾何
[19] The Etale Theta Function and its Frobenioid-theoretic Manifestations. PDF NEW !! (2008-12-12) Comments NEW !!
(2016-07-12) Related expositions NEW!! (2015-04-26) Responses to Questions on Frobenioids (cf., especially,
Questions 3, 8, 23, 24) NEW!! (2015-12-06)

http://www.kurims.kyoto-u.ac.jp/~motizuki/The%20Etale%20Theta%20Function%20and%20its%20Frobenioid-theoretic%20Manifestations.pdf
THE ETALE THETA FUNCTION AND ITS FROBENIOID-THEORETIC MANIFESTATIONS Shinichi Mochizuki December 2008

Abstract. We develop the theory of the tempered anabelian and Frobenioid-theoretic aspects of the “´etale theta function”, i.e., the Kummer class of the classical formal
algebraic theta function associated to a Tate curve over a nonarchimedean mixedcharacteristic local field. In particular, we consider a certain natural “environment”
for the study of the ´etale theta function, which we refer to as a “mono-theta environment” - essentially a Kummer-theoretic version of the classical theta trivialization
- and show that this mono-theta environment satisfies certain remarkable rigidity
properties involving cyclotomes, discreteness, and constant multiples, all in a fashion that is compatible with the topology of the tempered fundamental group and the
extension structure of the associated tempered Frobenioid.

Contents:
§1. The Tempered Anabelian Rigidity of the Etale Theta Function ´
§2. The Theory of Theta Environments
§3. Tempered Frobenioids
§4. General Bi-Kummer Theory
§5. The Etale Theta Function via Tempered Frobenioid

http://rio2016.5ch.net/test/read.cgi/math/1613784152/133

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