Inter-universal geometry と ABC予想 (応援スレ) 49

[過去ﾛｸﾞ] Inter-universal geometry と ABC予想 (応援スレ) 49 (1002ﾚｽ)
上下前次1-新
通常表示 512ﾊﾞｲﾄ分割ﾚｽ栞
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

755: 現代数学の系譜 雑談 ◆yH25M02vWFhP  [] 2020/11/15(日) 16:23:54.63 ID:70WnPA1Y

>>753
>Promenade in IUT いままで4回 11/5分まで終了

なお、下記ですね

http://www.kurims.kyoto-u.ac.jp/~bcollas/IUT/documents/RIMS-Lille%20-%20Promenade%20in%20Inter-Universal%20Teichm%C3%BCller%20Theory.pdf
Research Institute for Mathematical Sciences - Kyoto University, Japan
PROMENADE IN INTER-UNIVERSAL TEICHMULLER THEORY - 復元
Online Seminar - Algebraic & Arithmetic Geometry
Laboratoire Paul Painleve - Universite de Lille, France Version 1 - ε - 10/05/2020
(抜粋)
TALK 1.2 - ABC & VOJTA CONJECTURES: HEIGHTS AND RAMIFICATION. Vojta Conjecture in its
“generalized” form [Voj98] introduces further elements of arithmetic-geometry in terms of divisors,
curves, and number fields. The Diophantine ingredient is here given by Weil’s notion of height, see
[BG06] §2.4. As a result, one obtains a first connection with abc and the coarse moduli scheme M1,1 of
one-pointed elliptic curves endowed with D = (0) + (1) + (∞).
The Vojta conjecture with ramification for curves - see ibid. Conj 14.4.13 & 14.4.10 - is the equivalent
form of abc (Strg.) in its number field version as formulated in Conj. 14.4.12.
Vojta Conjecture (Curve NF.) For all curves C over any number field K, considering
S ≦ MK a finite set of places on K, D a reduced effective divisor and H a ample line bundle
on C, let ε > 0, then
ｍS,D(P) + ｈKC
(P) ≦ ｄ(P) + εｈH(P) + ο(K(P)：K](1)
holds for every P ∈ C ＼ supp(D).
Here, ｍS,D denotes the proximity function of local heights with respect to D and S of §14.3.1, and ｈ_●
denotes the height function with respect to a line bundle.

つづく

http://rio2016.5ch.net/test/read.cgi/math/1600350445/755

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 0.041s