Periods of rational forms on certain elliptic surfaces

Nobuo SASAKURA

doi:10.2969/jmsj/02140638

Nobuo SASAKURA

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JOURNAL FREE ACCESS

1969 Volume 21 Issue 4 Pages 638-671

DOI https://doi.org/10.2969/jmsj/02140638

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Published: 1969 Received: June 12, 1969 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) P. Appell et Feriet de Kampe, Fonction hypergéométriques et hypersphériques, Polynomes d'Hermite, Paris, 1926.
2) G. Géraud, Les thèses de doctorat, Université de Strassbourg, 1968.
3) P.A. Griffiths, Integrals on algebraic manifolds I, Amer. J. Math., 90 (1968), 568-626, II,III, to appear.
4) W.V.D. Hodge, The theory and applications of harmonic integrals, Cambridge Univ. Press, 1941.
5) W.V.D. Hodge and M.F. Atiyah, Integrals of the second kind on an algebraic variety, Ann. of Math., 62 (1955), 56-91.
6) A. Kas, Deformations of elliptic surfaces (Dissertation, Stanford University, 1966).
7) F. Klein, Hypergeometrische Funktion, Berlin, Springer, 1933.
8) K. Kodaira, On compact analytic surfaces II, III, Ann. of Math., 77 (1963) 563-626, Ann. of Math., 78 (1963), 1-40.
9) K. Kodaira and D.C. Spencer, Divisor class groups on algebraic varieties, Proc. Nat. Acad. Sci. U.S.A., 39 (1953), 872-877.
10) S. Lefschetz, On certain numerical invariants of algebraic varieties with application to abelian varieties, Trans. Amer. Math. Soc., 22 (1921), 327-482.
11) E. Picard, Traité d' analyse III, Gauthier-Villars, Paris.
12) N. Sasakura, On some results on the Picard numbers of certain algebraic surfaces, J. Math. Soc. Japan, 20 (1968), 297-321.
13) Spanier, Algebraic topology, McGraw-Hill Book Company.

Right : [1] P. Appell et Feriet de Kampe, Fonction hypergéométriques et hypersphériques, Polynomes d'Hermite, Paris, 1926.
[2] G. Géraud, Les thèses de doctorat, Université de Strassbourg, 1968.
[3] P. A. Griffiths, Integrals on algebraic manifolds I, Amer. J. Math., 90 (1968), 568-626, II,III, to appear.
[4] W. V. D. Hodge, The theory and applications of harmonic integrals, Cambridge Univ. Press, 1941.
[5] W. V. D. Hodge and M. F. Atiyah, Integrals of the second kind on an algebraic variety, Ann. of Math., 62 (1955), 56-91.
[6] A. Kas, Deformations of elliptic surfaces (Dissertation, Stanford University, 1966).
[7] F. Klein, Hypergeometrische Funktion, Berlin, Springer, 1933.
[8] K. Kodaira, On compact analytic surfaces II, III, Ann. of Math., 77 (1963) 563-626, Ann. of Math., 78 (1963), 1-40.
[9] K. Kodaira and D. C. Spencer, Divisor class groups on algebraic varieties, Proc. Nat. Acad. Sci. U. S. A., 39 (1953), 872-877.
[10] S. Lefschetz, On certain numerical invariants of algebraic varieties with application to abelian varieties, Trans. Amer. Math. Soc., 22 (1921), 327-482.
[11] E. Picard, Traité d' analyse III, Gauthier-Villars, Paris.
[12] N. Sasakura, On some results on the Picard numbers of certain algebraic surfaces, J. Math. Soc. Japan, 20 (1968), 297-321.
[13] Spanier, Algebraic topology, McGraw-Hill Book Company.

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

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