Voir la notice de l'article provenant de la source Cambridge University Press
Sebbar, Abdellah. Modular Subgroups, Forms, Curves and Surfaces. Canadian mathematical bulletin, Tome 45 (2002) no. 2, pp. 294-308. doi: 10.4153/CMB-2002-033-1
@article{10_4153_CMB_2002_033_1,
author = {Sebbar, Abdellah},
title = {Modular {Subgroups,} {Forms,} {Curves} and {Surfaces}},
journal = {Canadian mathematical bulletin},
pages = {294--308},
year = {2002},
volume = {45},
number = {2},
doi = {10.4153/CMB-2002-033-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-033-1/}
}
[1] [1] Bannai, E., An observation on modular forms. preprint. Google Scholar
[2] [2] Beauville, A., Les familles stables de courbes elliptiques sur P1 admettant quatre fibres singulières. C. R. Acad. Sci. Paris Sér. I Math. (19) 294 (1982), 294–1982. Google Scholar
[3] [3] Conway, J. H., Understanding groups like Γ(N). Groups, difference sets, and the Monster, Columbus, Ohio, 1993, 327–343, Ohio State Univ. Math. Res. Inst. Publ. 4, de Gruyter, Berlin, 1996. Google Scholar
[4] [4] Conway, J. H. and Norton, S. P., Monstrous moonshine. Bull. London Math. Soc. (3) 11 (1979), 11–1979. Google Scholar
[5] [5] Conway, J. H. and Sloane, N. J. A., Sphere Packings, Lattices and Groups. Grundlehren der Mathematischen Wissenschaften Springer-Verlag, New York, 1993. Google Scholar
[6] [6] Conway, J. H. and Sloane, N. J. A., Low-Dimensional Lattices II: Subgroups of GL(n, Z). Proc. Roy. Soc. London Ser. A 419 (1988), 419–1988. Google Scholar
[7] [7] Ford, D., McKay, J. and Norton, S., More on replicable functions. Comm. Algebra 22 (1994), 22–1994. Google Scholar
[8] [8] Kodaira, K., On compact complex analytic surfaces II. Ann. of Math. 77 (1963), 77–1963. Google Scholar
[9] [9] McKay, J. and Sebbar, A., Fuchsian groups, automorphic functions and Schwarzians. Math. Ann. (2) 318 (2000), 318–2000. Google Scholar
[10] [10] McKay, J. and Sebbar, A., J—invariants of the arithmetic semistable elliptic surfaces and graphs. AMS-CRM lecture notes series, to appear. Google Scholar
[11] [11] Millington, M. H., Subgroups of the classical modular group. J. London Math. Soc. (2) 1 (1969), 1–1969. Google Scholar
[12] [12] Miranda, R. and Persson, U., On extremal rational elliptic surfaces. Math. Z. (4) 193 (1986), 193–1986. Google Scholar
[13] [13] Rains, E. M. and Sloane, N. J. A., The shadow theory of modular and unimodular lattices. J. Number Theory (2) 73 (1998), 73–1998. Google Scholar
[14] [14] Rankin, Robert A., Modular forms and functions. Cambridge University Press, 1977. Google Scholar
[15] [15] Sebbar, A., Classification of genus zero torsion-free congruence groups in PSL2(Z). Proceedings of the Amer. Math. Soc., to appear. Google Scholar
[16] [16] Shimura, G., Introduction to the arithmetic theory of automorphic functions. Princeton University Press, Princeton, 1971. Google Scholar
[17] [17] Shioda, T., On elliptic modular surfaces. J.Math. Soc. Japan 24 (1972), 24–1972. Google Scholar
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