Algebraic varieties without deformation and the Chow variety

Goro SHIMURA

doi:10.2969/jmsj/02010336

Goro SHIMURA

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JOURNAL FREE ACCESS

1968 Volume 20 Issue 1-2 Pages 336-341

DOI https://doi.org/10.2969/jmsj/02010336

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Published: 1968 Received: May 25, 1967 Available on J-STAGE: September 26, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 26, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : Dedicated to Professor Shokichi Iyanaga on his 60th birthday

Date of correction: September 26, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) E. Calabi and E. Vesentini, On compact, locally symmetric Kähler manifolds, Ann. of Math., 71 (1960), 472-507.
2) A. Frölicher and A. Nijenhuis, A theorem on stability of complex structures, Proc. Nat. Acad. Sci. U.S.A., 43 (1957), 239-241.
3) K. Kodaira and D. C. Spencer, On deformations of complex analytic structures, Ann. of Math., 67 (1958), 328-466.
4) Y. Matsushima and S. Murakami, On certain cohomology groups attached to hermitian symmetric spaces, Osaka J. Math., 2 (1965), 1-35.
5) Y. Matsushima and G. Shimura, On the cohomology groups attached to certain vector valued differential forms on the product of the upper half planes, Ann. of Math., 78 (1963), 417-449.
6) J. -P. Serre, Exemples de variétés projectives conjuguées non homéomorphes, C. R. Acad. Sci. Paris, 258 (1964), 4194-4196.
7) G. Shimura, Class-fields and automorphic functions, Ann. of Math., 80 (1964), 444-463.
8) G. Shimura, On the field of definition for a field of automorphic functions, I, II, III, Ann. of Math., 80 (1964), 160-189; 81 (1965), 124-165; 83 (1966), 377-385.
9) G. Shimura and Y. Taniyama, Complex multiplication of abelian varieties and its applications to number theory, Publ. Math. Soc. Japan, No. 6, 1961.
10) A. Weil, Foundations of algebraic geometry, 2nd edition, Providence, 1962.
11) A. Weil, On discrete subgroups of Lie groups, I, II, Ann. of Math., 72 (1960), 369-384; 75 (1962), 578-602.

Right : [1] E. Calabi and E. Vesentini, On compact, locally symmetric Kähler manifolds, Ann. of Math., 71 (1960), 472-507.
[2] A. Frölicher and A. Nijenhuis, A theorem on stability of complex structures, Proc. Nat. Acad. Sci. U. S. A., 43 (1957), 239-241.
[3] K. Kodaira and D. C. Spencer, On deformations of complex analytic structures, Ann. of Math., 67 (1958), 328-466.
[4] Y. Matsushima and S. Murakami, On certain cohomology groups attached to hermitian symmetric spaces, Osaka J. Math., 2 (1965), 1-35.
[5] Y. Matsushima and G. Shimura, On the cohomology groups attached to certain vector valued differential forms on the product of the upper half planes, Ann. of Math., 78 (1963), 417-449.
[6] J. -P. Serre, Exemples de variétés projectives conjuguées non homéomorphes, C. R. Acad. Sci. Paris, 258 (1964), 4194-4196.
[7] G. Shimura, Class-fields and automorphic functions, Ann. of Math., 80 (1964), 444-463.
[8] G. Shimura, On the field of definition for a field of automorphic functions, I, II, III, Ann. of Math., 80 (1964), 160-189; 81 (1965), 124-165; 83 (1966), 377-385.
[9] G. Shimura and Y. Taniyama, Complex multiplication of abelian varieties and its applications to number theory, Publ. Math. Soc. Japan, No. 6, 1961.
[10] A. Weil, Foundations of algebraic geometry, 2nd edition, Providence, 1962.
[11] A. Weil, On discrete subgroups of Lie groups, I, II, Ann. of Math., 72 (1960), 369-384; 75 (1962), 578-602.

Date of correction: September 26, 2006 Reason for correction: - Correction: PDF FILE Details: -

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