Duke Mathematical Journal

Mordell-Weil groups of elliptic curves over $\mathbf{C}(t)$ with $p_g=0$ or $1$

David A. Cox
Source: Duke Math. J. Volume 49, Number 3 (1982), 677-689.
First Page: Show Hide
Primary Subjects: 14K07
Secondary Subjects: 14J25, 14K15
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077315384
Mathematical Reviews number (MathSciNet): MR672502
Zentralblatt MATH identifier: 0503.14018
Digital Object Identifier: doi:10.1215/S0012-7094-82-04935-3

References

[1] D. A. Cox and W. R. Parry, Torsion in elliptic curves over $k(t)$, Compositio Math. 41 (1980), no. 3, 337–354.
Mathematical Reviews (MathSciNet): MR81k:14035
Zentralblatt MATH: 0442.14015
[2] D. A. Cox and S. Zucker, Intersection numbers of sections of elliptic surfaces, Invent. Math. 53 (1979), no. 1, 1–44.
Mathematical Reviews (MathSciNet): MR81i:14023
Zentralblatt MATH: 0444.14004
Digital Object Identifier: doi:10.1007/BF01403189
[3] E. Horikawa, Surjectivity of the period map of $\rm K3$ surfaces of degree $2$, Math. Ann. 228 (1977), no. 2, 113–146.
Mathematical Reviews (MathSciNet): MR57:335
Zentralblatt MATH: 0333.32020
Digital Object Identifier: doi:10.1007/BF01351167
[4a] K. Kodaira, On compact analytic surfaces. II, Ann. of Math. (2) 77 (1963), 563–626.
Mathematical Reviews (MathSciNet): MR32:1730
Zentralblatt MATH: 0171.19601
Digital Object Identifier: doi:10.2307/1970500
[4b] K. Kodaira, On compact analytic surfaces. III, Ann. of Math. (2) 78 (1963), 1–40.
Mathematical Reviews (MathSciNet): MR32:1730
Zentralblatt MATH: 0118.15802
Digital Object Identifier: doi:10.2307/1970500
[5] J. Milnor and D. Husemoller, Symmetric bilinear forms, Springer-Verlag, New York, 1973.
Mathematical Reviews (MathSciNet): MR58:22129
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[6] I. I. Pjateckiĭ-Šapiro and I. R. Šafarevič, Torelli's theorem for algebraic surfaces of type $\rm K3$, Izv. Akad. Nauk SSSR Ser. Mat. 35 (1971), 530–572.
Mathematical Reviews (MathSciNet): MR44:1666
Zentralblatt MATH: 0219.14021
[7] T. Shioda, On elliptic modular surfaces, J. Math. Soc. Japan 24 (1972), 20–59.
Mathematical Reviews (MathSciNet): MR55:2927
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Digital Object Identifier: doi:10.2969/jmsj/02410020
Project Euclid: euclid.jmsj/1259849853

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