23/05/03 13:17:50.21 2hx3Gx3z.net
>>698
ありがとう
URL貼っておきますね
URLﾘﾝｸ(www.jstage.jst.go.jp)
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
URLﾘﾝｸ(www.jstage.jst.go.jp)
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).