暇つぶし2chat MATH

- 暇つぶし2ch196:下とダブりで消す追加 "NF"について下記P12 the abbreviations NF for "number field" ですね（＾＾ http://www.kurims.kyoto-u.ac.jp/~gokun/DOCUMENTS/abc2019Jul5.pdf A PROOF OF THE ABC CONJECTURE AFTER MOCHIZUKI By Go Yamashita preprint. last updated on 8/July/2019. （注意：文字化けがあるので、必ず原文見て下さい！） P12 Number Fields and Local Fields: In this survey, we define a number field to be a finite extension of Q (i.e., we exclude infinite extensions). We define a mixed characteristic (or non-Archimedean) local field to be a finite extension of Qp for some p. We use the abbreviations NF for "number field", MLF for "mixed characteristic local field", and CAF for "complex Archimedean field" (i.e., a topological field isomorphic to C). For a topological field k which is isomorphic to R or C, we write j _ jk : k ! R>=0 for the absolute value associated to k, i.e., the unique continuous map such that the restriction of j＿jk to k determines a homomorphism k ! R>0 with respect to the multiplicative structures of k and R>0, and jnjk = n for n ∈ Z>=0. We write π ∈ R for the mathematical constant pi (i.e., π = 3:14159 ・・・ ). (引用終り) ±の意味？分からんｗ（＾＾；下記で、＋が ”双曲的なリーマン面Xの不変被覆X~は上半平面H”に相当する部分で－が下半平面に相当する部分で ±は ”+ and -”と推察します http://www.kurims.kyoto-u.ac.jp/~motizuki/travel-japanese.html 望月新一の出張・講演 [11] 数論的Teichmuller理論入門　（京都大学理学部数学教室 2008年5月） http://www.kurims.kyoto-u.ac.jp/~motizuki/2008-05%20danwakai-ohp-jpg.pdf 談話会数論的Teichmuller理論入門 P4 双曲的なリーマン面Xの不変被覆X~は上半平面Hに同型である（Koebe）。 (引用終り) あと「D-Θ±ell 」（>>166）のDは、自分で頼むよ（＾＾