The linear equivalence theory of cycles and cycles of dimension zero on abelian varieties

Atuhiro HIRAI

doi:10.2969/jmsj/00830180

Atuhiro HIRAI

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ジャーナルフリー

1956 年 8 巻 3 号 p. 180-205

DOI https://doi.org/10.2969/jmsj/00830180

詳細

Published: 1956 Received: 1955/03/10 Available on J-STAGE: 2006/08/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/08/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) C. Chevalley, Imbedding theorem of group varieties in a projective space, Proc. of Intern. symp. on alg. number theory, forthcoming.
2) T. Matusaka, The theorem of Bertini on linear system in modular fields, Mem. Coll. Sci. Univ. Kyoto, Ser. A. Math., 26 (1950), pp. 51-62.
3) Y. Nakai, Note on the intersection of an algebraic variety with the generic hyperplane, Mem. Coll. Sci. Univ. Kyoto, Ser. A. Math., 26 (1951) pp. 185-186.
4) A. weil, Foundations of algebraic geometry, New York, 1946.
5) A. weil, Sur les courbes algébriques et les variétés qui s'en déduisent, Paris, 1948.
6) A. weil, Variétés abéliennes et courbes algébriques, Paris, 1948.
7) A. weil, Sur les criterès d'équivalence en géométrie algébrique, Math. Ann. B. 128 (1954) pp. 95-127.
8) O. Zariski, Pencils on algebraic variety and a new proof of a theorem of Bertini, Trans. Amer. Math. Soc., 50 (1941) pp. 48-70.

Right : [1] C. Chevalley, Imbedding theorem of group varieties in a projective space, Proc. of Intern. symp. on alg. number theory, forthcoming.
[2] T. Matusaka, The theorem of Bertini on linear system in modular fields, Mem. Coll. Sci. Univ. Kyoto, Ser. A. Math., 26 (1950), pp. 51-62.
[3] Y. Nakai, Note on the intersection of an algebraic variety with the generic hyperplane, Mem. Coll. Sci. Univ. Kyoto, Ser. A. Math., 26 (1951) pp. 185-186.
[4] A. Weil, Foundations of algebraic geometry, New York, 1946.
[5] A. Weil, Sur les courbes algébriques et les variétés qui s'en déduisent, Paris, 1948.
[6] A. Weil, Variétés abéliennes et courbes algébriques, Paris, 1948.
[7] A. Weil, Sur les critères d'équivalence en géométrie algébrique, Math. Ann. B. 128 (1954) pp. 95-127.
[8] O. Zariski, Pencils on algebraic variety and a new proof of a theorem of Bertini, Trans. Amer. Math. Soc., 50 (1941) pp. 48-70.

訂正日: 2006/08/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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