[過去ﾛｸﾞ] 現代数学の系譜 工学物理雑談 古典ガロア理論も読む79 (1002ﾚｽ)
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766(2): 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE 2019/12/29(日)23:08 ID:uR3g5aDb(10/13) AAS
>>765
>>765

この日本文は不正確
正確には、下記英文
なお、下記(a, b, c, n)は (a, b, c, p)が正確かもね、y^2 = x (x - a^p)(x + b^p)だからね
外部ﾘﾝｸ:en.wikipedia.org
Fermat's Last Theorem
省15

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767(1): 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE 2019/12/29(日)23:08 ID:uR3g5aDb(11/13) AAS
>>766
つづき

Following this strategy, a proof of Fermat's Last Theorem required two steps.
First, it was necessary to prove the modularity theorem ? or at least to prove it for the types of elliptical curves that included Frey's equation (known as semistable elliptic curves).
This was widely believed inaccessible to proof by contemporary mathematicians.[121]:203?205, 223, 226
Second, it was necessary to show that Frey's intuition was correct: that if an elliptic curve were constructed in this way, using a set of numbers that were a solution of Fermat's equation, the resulting elliptic curve could not be modular.
Frey showed that this was plausible but did not go as far as giving a full proof.
省3

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769: 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE 2019/12/29(日)23:28 ID:uR3g5aDb(13/13) AAS
>>766
もとは、フライ曲線は、
y^2 = x (x - a^p)(x + b^p) p > 2
だったけど
abc予想では、 p = 1
なんだ

それで、楕円曲線の理論と関連が付くんだね
省1

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