On some results on the Picard numbers of certain algebraic surfaces

Nobuo SASAKURA

doi:10.2969/jmsj/02010297

Nobuo SASAKURA

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JOURNAL FREE ACCESS

1968 Volume 20 Issue 1-2 Pages 297-321

DOI https://doi.org/10.2969/jmsj/02010297

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Published: 1968 Received: August 31, 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 : To Professor Iyanaga for his 60th birthday

Date of correction: September 26, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) P. Appell et de F. J. Kampé, Fonctions hypergéométriques et hypersphériques,, polynomes d'Hermite, Paris, 1926.
2) W. V. D. Hodge and M. F. Atiyah, Integrals of the second kind on an algebraic variety, Ann. of Math., 62 (1955), 56-91.
3) K. Kodaira, On compact analytic surfaces II, Ann, of Math., 77 (1963), 563-626.
4) K. Kodaira and D. C. Spencer, Divisor class groups on algebraic varieties, Proc. Nat. Acad. Sci. U.S.A., 39 (1953), 872-877.
5) S. Lefschetz, On certain numerical invariants of algebraic varieties with application to abelian varieties, Trans. Amer. Math. Soc., 22 (1921), 327-482.
6) S. Lefschetz, L'Analysis situs et la géométrie algébrique, Gauthier-Villars, Paris, 1924.
7) G. Shimura, On analytic families of polarized abelian varieties and automorphic functions, Ann. of Math., 18 (1962), 149-192.
8) G. Shimura, On purely transcendental fields of automorphic functions of several variables, Osaka J. Math., 1 (1964), 1-14.
9) O. Zariski, Algebraic surfaces, Chelsea, New York, 1948.

Right : [1] P. Appell et de F. J. Kampé, Fonctions hypergéométriques et hypersphériques, polynomes d'Hermite, Paris, 1926.
[2] W. V. D. Hodge and M. F. Atiyah, Integrals of the second kind on an algebraic variety, Ann. of Math., 62 (1955), 56-91.
[3] K. Kodaira, On compact analytic surfaces II, Ann. of Math., 77 (1963), 563-626.
[4] K. Kodaira and D. C. Spencer, Divisor class groups on algebraic varieties, Proc. Nat. Acad. Sci. U. S. A., 39 (1953), 872-877.
[5] S. Lefschetz, On certain numerical invariants of algebraic varieties with application to abelian varieties, Trans. Amer. Math. Soc., 22 (1921), 327-482.
[6] S. Lefschetz, L'Analysis situs et la géométrie algébrique, Gauthier-Villars, Paris, 1924.
[7] G. Shimura, On analytic families of polarized abelian varieties and automorphic functions, Ann. of Math., 78 (1962), 149-192.
[8] G. Shimura, On purely transcendental fields of automorphic functions of several variables, Osaka J. Math., 1 (1964), 1-14.
[9] O. Zariski, Algebraic surfaces, Chelsea, New York, 1948.

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

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