ガロア第一論文と乗数イデアル他関連資料スレ3

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698: １３２人目の素数さん [] 2023/05/03(水) 11:53:30.38 ID:zednMTIW

>>東海道本線の特急「つばめ」「はと」
>>1960年6月より「つばめ」の車両を151系電車に置き換えて
>>2往復（1往復は神戸駅発着）に増発され、
>>同時にスピードアップして東京駅 - 大阪駅間所要6時間30分となった。

もしかすると「つばめ」ではなく「はと」の方だったかもしれない。
いずれにせよ、それはAkizuki-Nakanoが日本学士院紀要に載る前だから
1954年のことで、蒸気機関車の時代のこと。
名古屋で機関車を取り換えたのかもしれない。
Akizuki, Yasuo; Nakano, Shigeo
Note on Kodaira-Spencer's proof of Lefschetz theorems.
Proc. Japan Acad. 30 (1954), 266–272.
M(D) denotes the faisceau of meromorphic
n-forms on an algebraic variety
X which are (locally) multiples of the divisor D. Here n=dim X.
Kodaira obtained sufficient conditions on M(D) in order that
H^1(X,M(D))=0. This paper obtains similar conditions
(not identical with those of Kodaira), showing that
H^{p,q}(X,M{D})=0 if p+q>n
when there exists a form of type (1–1) dual to D
whose coefficients form a positive definite Hermitian matrix.
The method depends on a new property of harmonic integrals
on a complex line bundle. Several known results in the related
field of algebraic geometry are quickly deduced from this result,
e.g. Lefschetz's theorem when D is a generic section of
X, and also the theorem that a complex line bundle over an algebraic variety
is equivalent to a divisor class.
Reviewed by W. V. D. Hodge

http://rio2016.5ch.net/test/read.cgi/math/1680684665/698

705: １３２人目の素数さん [] 2023/05/03(水) 13:17:50.21 ID:2hx3Gx3z

>>698
ありがとう
URL貼っておきますね

https://www.jstage.jst.go.jp/article/pjab1945/30/4/30_4_266/_article/-char/ja/
J-STAGEトップ/Proceedings of the Japan Acade .../30 巻 (1954) 4 号/書誌
Note on Kodaira-Spencer's Proof of Lefschetz Theorems
Yasuo AKIZUKI, Shigeo NAKANO
https://www.jstage.jst.go.jp/article/pjab1945/30/4/30_4_266/_pdf/-char/ja
56. Note on Kodaira-Spencer's Proof o f Lefschetz Theorems
By Yasuo AKIzuK1 and Shigeo NAKAN01'
Mathematical Institute, Kyoto University
(Comm. by Z. SUETUNA, M.J.A., April 12, 1954)

It has been for a long time expected to have a rigorous proof
of the celebrated theorem of Lefschetz on the homomorphism between homology groups of an algebraic variety V(n2) and those
of its generic hyperplane section S. Recently Kodaira and Spencer
have succeeded through their deep investigations in proving not
only this theorem but also the lemma of Enriques-Severi-Zariski at
the same time. By a differential-geometric method Kodaira gained
the fundamental lemma on the cohomology groups with coefficients
in the stack of germs of holomorphic forms whose coefficients lie
in a complex line bundle over V. Standing on this lemma he succeeded also in obtaining the decisive result : the Kahler variety of
Hodge's type is equivalent to a projective variety (namely an algebraic variety).

http://rio2016.5ch.net/test/read.cgi/math/1680684665/705

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