[過去ﾛｸﾞ] IUTを読むための用語集資料集スレ (1002ﾚｽ)
上下前次1-新
抽出解除 ﾚｽ栞

---

このｽﾚｯﾄﾞは過去ﾛｸﾞ倉庫に格納されています｡
次ｽﾚ検索 歴削→次ｽﾚ 栞削→次ｽﾚ 過去ﾛｸﾞﾒﾆｭｰ

---

166(4): 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/07/17(金)17:54 ID:02nx2tCZ(1/4) AAS
>>164 追加

外部ﾘﾝｸ[pdf]:arxiv.org
SHIMURA CURVES AND THE ABC CONJECTURE
HECTOR PASTEN Date: July 6, 2018.
(抜粋)
Abstract. We develop a general framework to study Szpiro’s conjecture and the abc conjecture by
means of Shimura curves and their maps to elliptic curves, introducing new techniques that allow us
省19

---

167(4): 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/07/17(金)17:54 ID:02nx2tCZ(2/4) AAS
>>166

つづき

A classical construction of Frey [36] shows that Szpiro’s conjecture implies the abc conjecture:
To a triple of coprime positive integers a, b, c with a + b = c one associates the Frey-Hellegouarch
elliptic curve Ea,b,c given by the affine equation y^2 = x(x ? a)(x + b).
Then ΔE and NE are equal to (abc) ^2 and rad(abc) respectively,
up to a bounded power of 2 (cf. Section 3 for details and references).
省18

---

169(1): 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/07/17(金)18:00 ID:02nx2tCZ(4/4) AAS
>>166
補足
SHIMURA CURVES AND THE ABC CONJECTURE
HECTOR PASTEN Date: July 6, 2018.
(抜粋)
Abstract. We develop a general framework to study Szpiro’s conjecture and the abc conjecture by
means of Shimura curves and their maps to elliptic curves, introducing new techniques that allow us
省6

---

170(1): 2020/07/17(金)18:56 ID:tciMsXCh(1) AAS
>>166-169
別人が全く別の方法でABC予想を証明しても
望月の証明が正しい証拠にはならんが
そんなことも分からん🐎🦌なのか？

---

185(2): 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/07/19(日)17:46 ID:2Y0qBKwb(6/9) AAS
>>166 追加

”Shimura curves”
外部ﾘﾝｸ:www.math.columbia.edu
Chao Li's homepage
外部ﾘﾝｸ[html]:www.math.columbia.edu
Shimura curves

In the 60s, Shimura studied certain algebraic curves as analogues of classical modular curves in order to construct class fields of totally real number fields. These curves were later coined "Shimura curves" and vastly generalized by Deligne. We will take a tour of the rich geometry and arithmetic of Shimura curves. Along the way, we may encounter tessellations of disks, quaternion algebras, abelian surfaces, elliptic curves with CM, Hurwitz curves ... and the answer to life, the universe and everything.
省14

---

上下前次1-新書関写板覧索設栞歴

---

ｽﾚ情報 赤ﾚｽ抽出 画像ﾚｽ抽出 歴の未読ｽﾚ AAｻﾑﾈｲﾙ

---

ぬこの手 ぬこTOP 0.038s