Galois cohomology and birational invariant of algebraic varieties

Megumu MIWA

doi:10.2969/jmsj/02140584

Megumu MIWA

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JOURNAL FREE ACCESS

1969 Volume 21 Issue 4 Pages 584-603

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

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Published: 1969 Received: June 03, 1968 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: 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.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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