On Jacobian fibrations on the Kummer surfaces of the product of non-isogenous elliptic curves

Keiji OGUISO

doi:10.2969/jmsj/04140651

Keiji OGUISO

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JOURNAL FREE ACCESS

1989 Volume 41 Issue 4 Pages 651-680

DOI https://doi.org/10.2969/jmsj/04140651

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Published: 1989 Received: August 17, 1988 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) V. Nikulin, On Kummer surfaces, Math. USSR-Izv., 9(1975), 261-275.
2) V. Nikulin, Finite groups of automorphisms of Kahierian surfaces of type K3, Trans. Moscow Math. Soc., 38 (1980), 71-135.
3) V. Nikulin, Integral symmetric bilinear forms and some of their applications, Math. USSR-Izv., 14 (1980), 103-167.
4) V. Nikulin, Factor groups of groups of automorphisms of hyperbolic forms with respect to subgroups generated by 2-reflections, algeblo-geometric applications, J. Soviet Math., 22 (1983), 1401-1475.
5) T. Shioda, On elliptic modular surfaces, J. Math. Soc. Japan, 24 (1972), 20-59.
6) T. Shioda, The period map of abelian surfaces, J. Fac. Sci. Univ. Tokyo, 25 (1978), 47-59.
7) T. Shioda and N. Mitani, Singular abelian surfaces and binary quadratic forms, Lecture Notes in Math., 412, Springer, 1974, pp. 259-287.
8) T. Shioda and H. Inose, On singular K3 surfaces, Complex analysis and algebraic geometry, Iwanami Shoten, 1977, pp. 119-136.
9) D. Cox and S. Zucker, Intersection numbers of sections of elliptic surfaces, Invent. Math., 53 (1979), 1-44.
10) K. Kodaira, On compact analytic surfaces II, Ann. of Math., 77 (1963), 563-626.
11) D. R. Morrison, On K3 surfaces with a large Picard number, Invent. Math., 75 (1984), 105-121.
12) H. Sterk, Finiteness results for algebraic K3 surfaces, Math. Z., 189 (1985).
13) I. I. Pjateckiî-Šapiro and I. R. Šafarevic, A Torelli theorem for algebraic surfaces of type K3, Math. USSR-Izv., 5 (1971), 547-587.

Right : [1] V. Nikulin, On Kummer surfaces, Math. USSR-Izv., 9 (1975), 261-275.
[2] V. Nikulin, Finite groups of automorphisms of Kahierian surfaces of type K3, Trans. Moscow Math. Soc., 38 (1980), 71-135.
[3] V. Nikulin, Integral symmetric bilinear forms and some of their applications, Math. USSR-Izv., 14 (1980), 103-167.
[4] V. Nikulin, Factor groups of groups of automorphisms of hyperbolic forms with respect to subgroups generated by 2-reflections, algeblo-geometric applications, J. Soviet Math., 22 (1983), 1401-1475.
[5] T. Shioda, On elliptic modular surfaces, J. Math. Soc. Japan, 24 (1972), 20-59.
[6] T. Shioda, The period map of abelian surfaces, J. Fac. Sci. Univ. Tokyo, 25 (1978), 47-59.
[7] T. Shioda and N. Mitani, Singular abelian surfaces and binary quadratic forms, Lecture Notes in Math., 412, Springer, 1974, pp. 259-287.
[8] T. Shioda and H. Inose, On singular K3 surfaces, Complex analysis and algebraic geometry, Iwanami Shoten, 1977, pp. 119-136.
[9] D. Cox and S. Zucker, Intersection numbers of sections of elliptic surfaces, Invent. Math., 53 (1979), 1-44.
[10] K. Kodaira, On compact analytic surfaces II, Ann. of Math., 77 (1963), 563-626.
[11] D. R. Morrison, On K3 surfaces with a large Picard number, Invent. Math., 75 (1984), 105-121.
[12] H. Sterk, Finiteness results for algebraic K3 surfaces, Math. Z., 189 (1985).
[13] I. I. Pjateckiî-Šapiro and I. R. Šafarevic, A Torelli theorem for algebraic surfaces of type K3, Math. USSR-Izv., 5 (1971), 547-587.

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