Galois cohomology and birational invariant of algebraic varieties

Megumu MIWA

doi:10.2969/jmsj/02140584

Megumu MIWA

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ジャーナルフリー

1969 年 21 巻 4 号 p. 584-603

DOI https://doi.org/10.2969/jmsj/02140584

詳細

Published: 1969 Received: 1968/06/03 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) Cartan-Eilenberg, Homological Algebra, Princeton 1956.
2) S. Lang, Abelian varieties, Interscience Pub., New York London, 1959.
3) S. Lang, Galois cohomology, mimeographed note. Galois cohomology and birational invariant 603
4) I. Manin, Rational surfaces over perfect field, Publ. Math. I.H.E.S. no. 30 (1966), 459-473.
5) T. Nakayama, Cohomology of class field theory and tensor product modules I, Ann. of Math., 65 (1957), 255-267.
6) T. Ono, On the Tamagawa number of algebraic tori, Ann. of Math., 78 (1963), 47-73.
7) J.P. Serre, Cohomologies Galoisiennes, College de France, 1963.
8) J.P. Serre, Corps locaux, Herman, Paris, 1962.
9) J. Tate, Algebraic cohomology classes, A.M.S. Lecture note of Summer institute (Woods Hale) 1964.
10) J. Tate, Endomorphisms of Abelian varieties over finite fields, Invent. Math., 2 (1966), 134-144.
11) A. Weil, Foundation of algebraic geometry, Colloq. Publ. A.M.S., New York, 1946.
12) A. Weil, Variété abéliennes et courbes algébriques, Hermann, Paris, 1948.
13) A. Weil, Adeles and algebraic groups, Princeton, 1961.

Right : [1] Cartan-Eilenberg, Homological Algebra, Princeton 1956.
[2] S. Lang, Abelian varieties, Interscience Pub., New York London, 1959.
[3] S. Lang, Galois cohomology, mimeographed note.
[4] I. Manin, Rational surfaces over perfect field, Publ. Math. I. H. E. S. no. 30 (1966), 459-473.
[5] T. Nakayama, Cohomology of class field theory and tensor product modules I, Ann. of Math., 65 (1957), 255-267.
[6] T. Ono, On the Tamagawa number of algebraic tori, Ann. of Math., 78 (1963), 47-73.
[7] J. P. Serre, Cohomologies Galoisiennes, College de France, 1963.
[8] J. P. Serre, Corps locaux, Herman, Paris, 1962.
[9] J. Tate, Algebraic cohomology classes, A. M. S. Lecture note of Summer institute (Woods Hale) 1964.
[10] J. Tate, Endomorphisms of Abelian varieties over finite fields, Invent. Math., 2 (1966), 134-144.
[11] A. Weil, Foundation of algebraic geometry, Colloq. Publ. A. M. S., New York, 1946.
[12] A. Weil, Variété abéliennes et courbes algébriques, Hermann, Paris, 1948.
[13] A. Weil, Adeles and algebraic groups, Princeton, 1961.

訂正日: 2006/09/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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