訂正日: 2006/09/26訂正理由: -訂正箇所: 論文サブタイトル訂正内容: Wrong : Dedicated to Professor S. Iyanaga for his 60th birthday
訂正日: 2006/09/26訂正理由: -訂正箇所: 引用文献情報訂正内容: Wrong : 1) A. Borel, Topology of Lie groups and characteristic classes, Bull. Amer. Math. Soc., 61 (1955), 397-432. 2) A. Borel and Harish-Chandra, Arithmetic subgroups and algebraic groups, Ann. of Math., 75 (1962), 485-535. 3) A. Borel and J.-P. Serre, Théorèmes de finitude en cohomologie galoisienne, Comment. Math. Helv., 39 (1964), 111-164. 4) A Borel and J. Tits, Groupes réductifs, Publ. Math. I. H. E. S., n°27, (1965), 659-755. 5) B. W. Jones, The arithmetic theory of quadratic forms, New York, 1950. 6) M. Kneser, Hasse principle for H1 of simply connected groups, Proc. Symp. in pure Math., IX, Amer. Math. Soc., (1966), 159-163. 7) S. Lang and A. Weil, Number of points of varieties in finite fields, Amer. J. Math., 76 (1954), 819-827. 8) T. Ono, On the relative theory of Tamagawa numbers, Ann. of. Math., 82 (1965), 88-111. 9) M. Rosenlicht, On quotient varieties and the affine embedding of certain homogeneous spaces, Trans. Amer. Math. Soc., 101 (1961), 211-223. 10) C. L. Siegel, A mean value theorem in geometry of numbers, Ann. of Math., 46 (1945), 340-347. 11) A. Weil, Sur quelques résultats de Siegel, Summa Brasil. Math., 1 (1945-1946), 21-39. 12) A. Weil, Adeles and algebraic groups, Inst. Adv. Study., Princeton, 1961.
Right : [1] A. Borel, Topology of Lie groups and characteristic classes, Bull. Amer. Math. Soc., 61 (1955), 397-432. [2] A. Borel and Harish-Chandra, Arithmetic subgroups and algebraic groups, Ann. of Math., 75 (1962), 485-535. [3] A. Borel and J. -P. Serre, Théorèmes de finitude en cohomologie galoisienne, Comment. Math. Helv., 39 (1964), 111-164. [4] A Borel and J. Tits, Groupes réductifs, Publ. Math. I. H. E. S., n°27, (1965), 659-755. [5] B. W. Jones, The arithmetic theory of quadratic forms, New York, 1950. [6] M. Kneser, Hasse principle for H1 of simply connected groups, Proc. Symp. in pure Math., IX, Amer. Math. Soc., (1966), 159-163. [7] S. Lang and A. Weil, Number of points of varieties in finite fields, Amer. J. Math., 76 (1954), 819-827. [8] T. Ono, On the relative theory of Tamagawa numbers, Ann. of. Math., 82 (1965), 88-111. [9] M. Rosenlicht, On quotient varieties and the affine embedding of certain homogeneous spaces, Trans. Amer. Math. Soc., 101 (1961), 211-223. [10] C. L. Siegel, A mean value theorem in geometry of numbers, Ann. of Math., 46 (1945), 340-347. [11] A. Weil, Sur quelques résultats de Siegel, Summa Brasil. Math., 1 (1945-1946), 21-39. [12] A. Weil, Adeles and algebraic groups, Inst. Adv. Study., Princeton, 1961.