Q-curves over quadratic fields

Manuscripta Mathematica

Volumn 94, Issue 3, 1997, Pages 347-364

  Hasegawa, Yuji ^a  

^a WASEDA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031281017     PISSN: 00252611     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02677859     Document Type: Article

References (17)

1. N. Elkies, A remark on elliptic K-curves, preprint.
2. R. Fricke, "Die Elliptischen Funktionen und ihre Anwendungen", Teubner, 1916.
3. B. Gross, "Arithmetic on elliptic curves with complex multiplication", Lecture Notes in Math. 776, Springer-Verlag, 1980.
4. Y. Hasegawa, Modular abelian surfaces and hyperelliptic curves of genus two, preprint.
5. Y. Hasegawa, K. Hashimoto, F. Momose, Modular conjecture for Q-curves and QM-curves, preprint.
6. K. Hashimoto, On Brumer's family of RM-curves of genus two, preprint.
7. 0(N) and an application, to appear in Ada Arith.
8. J. Igusa, Arithmetic variety of moduli for genus two, Ann. of Math. 72 (1960), 612-649.
9. F. Momose, On the l-adic representations attached to modular forms, J. Fac. Sci. Univ. Tokyo 28 (1981), 89-109.
10. E. Pyle, "Abelian varieties over Q with large endomorphism algebras and their simple components over Q̄", Dissertation of the Univ. of California at Berkeley, 1995.
11. K. Ribet, Twists of modular forms and endomorphisms of abelian varieties, Math. Ann. 253 (1980), 43-62.
12. K. Ribet, "Abelian varieties over Q and modular forms", In 1992 Proceedings of KAIST Mathematics Workshop, pp.53-79, Korea Advanced Institute of Science and Technology, Taejon, 1992.
13. J.-P. Serre, Sur les représentations modulaires de degré 2 de Gal(Q̄/Q), Duke Math. J. 54 (1987), 179-230.
14. G. Shimura, On the factors of the jacobian varieties of a modular function field, J. Math. Soc. Japan 25 (1973), 523-544.
15. J. H. Silverman, "The Arithmetic of Elliptic Curves", Graduate Texts in Math. 106, Springer-Verlag, 1986.
16. J. Vélu, Isogénies entre courbes elliptiques, C.R. Acad. Sc. Paris Sér.A 273 (1971), 238-241.
17. A. Wiles, Modular elliptic curves and Fermat's Last Theorem, Ann. of Math. 141 (1995), 443-551.