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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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594(1): 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/10/25(日)09:23 ID:eIdDsFH8(3/19) AAS
>>593
つづき

§ 2.10. Inter-universality: changes of universe as changes of coordinates
One fundamental aspect of the links [cf. the discussion of §2.7, (i)] − namely, the
Θ-link and log-link − that occur in inter-universal Teichm¨uller theory is their incompatibility with the ring structures of the rings and schemes that appear in their
domains and codomains. In particular, when one considers the result of transporting
an ´etale-like structure such as a Galois group [or ´etale fundamental group] across such
省11

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