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592(2): 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/10/25(日)09:22 ID:eIdDsFH8(1/19) AAS
>>590
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（参考）
外部ﾘﾝｸ[pdf]:www.kurims.kyoto-u.ac.jp
The Mathematics of Mutually Alien Copies: from Gaussian Integrals to Inter-universal Teichm¨uller Theory By Shinichi Mochizuki
Received xxxx xx, 2016. Revised xxxx xx, 2020
(抜粋)
省19

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593(1): 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/10/25(日)09:23 ID:eIdDsFH8(2/19) AAS
>>592
つづき
In particular, when one computes the height of a rational point of the projective line
minus three points as a suitable weighted sum of the valuations of the q-parameters of
the corresponding elliptic curve, one may ignore, up to bounded discrepancies, contributions to the height that arise, say, from the archimedean valuations or from the
nonarchimedean valuations that lie over some “exceptional” prime number such as 2.

§ 2.2. Arithmetic degrees as global integrals
省16

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598(2): 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/10/25(日)10:36 ID:eIdDsFH8(7/19) AAS
>>592
"Szpiro Conjectures. In this case, the height of a rational point may
be thought of as a suitable weighted sum of the valuations of the q-parameters of
the elliptic curve determined by the rational point at the nonarchimedean primes of potentially multiplicative reduction [cf. the discussion at the end of [Fsk], §2.2; [GenEll],”

”q-parameter”：多分下記の楕円テータ関数 「q = e^2πiτ」だろうね（＾＾；
外部ﾘﾝｸ:member.ipmu.jp
Yuji Tachikawa 立川裕二
省22

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