13.07.2015 Views

Products of CM elliptic curves - Universität Duisburg-Essen

Products of CM elliptic curves - Universität Duisburg-Essen

Products of CM elliptic curves - Universität Duisburg-Essen

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

[12] F. Hirzebruch, D. Zagier, Intersection numbers <strong>of</strong> <strong>curves</strong> on Hilbert modularsurfaces and modular forms <strong>of</strong> Nebentypus. Invent. math. 36 (1976), 57–113 =Gesammelte Abh./Coll. Papers II, Springer-Verlag, Berlin, 1987, pp. 409–465.[13] E. W. Howe, Principally polarized ordinary abelian varieties over finite fields.Trans. Amer. Math. Soc. 347 (1995), 2361-2401.[14] G. Humbert, Sur les fonctions abéliennes singulières. I. J. de Math. (ser. 5) 5(1899), 233–350 = Œuvres, Gauthier-Villars et Cie., Paris, 1929, pp. 297–401.[15] A. Hurwitz, Über algebraische Korrespondenzen und das verallgemeinerte Korrespondenzprinzip.Math. Ann. 28 (1887), 561–585 = Math. Werke I, Birhäuser,Basel, 1932, pp. 163 – 188.[16] E. Kani, The moduli spaces <strong>of</strong> Jacobians isomorphic to a product <strong>of</strong> two <strong>elliptic</strong><strong>curves</strong>. Preprint, 39 pages.[17] E. Kani, The existence <strong>of</strong> Jacobians isomorphic to a product <strong>of</strong> two <strong>elliptic</strong> <strong>curves</strong>.Inst. Exp. Math., <strong>Essen</strong>, <strong>Universität</strong> <strong>Duisburg</strong>-<strong>Essen</strong>, IEM Preprint No. 3–2009,35 pages.[18] S. Lang, Elliptic Functions. Addison-Wesley, Reading, MA, 1972.[19] H. Lange, Produkte elliptischer Kurven. Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. II (1975), 95–108.[20] D. Mumford, Abelian Varieties. Oxford U Press, Oxford, 1970.[21] W. Ruppert, When is an abelian surface isomorphic or isogenous to a product <strong>of</strong><strong>elliptic</strong> <strong>curves</strong>? Math. Z. 203 (1990), 293–299.[22] C. Schoen, Produkte abelscher Varietäten und Moduln über Ordnungen. J. reineangew. Math. 429 (1992), 115–123.[23] G. Shimura, Y. Taniyama, Complex Multiplication <strong>of</strong> Abelian Varieties. Math.Soc. Japan, Tokyo, 1961.[24] T. Shioda, N. Mitani, Singular abelian surfaces and binary quadratic forms. In:Classification <strong>of</strong> algebraic varieties and compact complex manifolds. Lect. NotesMath. 412 (1974), 259–287.[25] E. Steinitz, Zur Theorie der Moduln. Math. Ann. 52 (1899), 1–57.[26] W.C. Waterhouse, Abelian varieties over finite fields. Ann. Sci. École Norm. Sup.(4), 2 (1969), 521-560.54

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!