Voir la notice de l'article provenant de la source Cambridge University Press
Long, Ling. $L$ -Series of Certain Elliptic Surfaces. Canadian mathematical bulletin, Tome 46 (2003) no. 4, pp. 546-558. doi: 10.4153/CMB-2003-052-2
@article{10_4153_CMB_2003_052_2,
author = {Long, Ling},
title = {$L$ {-Series} of {Certain} {Elliptic} {Surfaces}},
journal = {Canadian mathematical bulletin},
pages = {546--558},
year = {2003},
volume = {46},
number = {4},
doi = {10.4153/CMB-2003-052-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2003-052-2/}
}
[AO00] [AO00] Ahlgren, S. and Ono, K., Modularity of a certain Calabi-Yau threefold. Monatsh.Math. (3) 129 (2000), 177–190. Google Scholar
[Del73] [Del73] Deligne, P., Formes modulaires et représentations de gl(2). In: Modular functions of one variable, II (Proc. Internat. Summer School, Univ. Antwerp, Antwerp, 1972), Lecture Notes in Math 349, Springer, Berlin, 1973, 55–105. Google Scholar
[Dwo60] [Dwo60] Dwork, B., On the rationality of the zeta function of an algebraic variety. Amer. J. Math. 82 (1960), 631–648. Google Scholar
[Eva81] [Eva81] Evans, R. J., Identities for products of Gauss sums over finite fields. Enseign.Math. (2) 27(1981), (3-4)(1982), 197–209. Google Scholar
[Kod63] [Kod63] Kodaira, K., On compact analytic surfaces. II, III. Ann. of Math. (2) 77 (1963), 563–626, ibid. 78 (1963), 1–40. Google Scholar
[Lan62] [Lan62] Lang, S., Diophantine geometry. Interscience Publishers (a division of John Wiley & Sons), New York, London, 1962. Google Scholar
[Li96] [Li96] Winnie Li, W. C., Number theory with applications. World Scientific Publishing Co. Inc., River Edge, NJ, 1996. Google Scholar
[Liv87] [Liv87] Livné, R., Cubic exponential sums and Galois representations. In: Current trends in arithmetical algebraic geometry (Arcata, Calif., 1985), Contemp.Math. 67, Amer.Math. Soc., Providence, RI, 1987, 247–261. Google Scholar
[Lon03] [Lon03] Long, L., The Shioda-Inose structure of one-parameter families of K3 surfaces. Preprint, 2003. Google Scholar
[Nér64] [Nér64] Néron, A., Modèles minimaux des variétés abéliennes sur les corps locaux et globaux. Inst. Hautes E´ tudes Sci. Publ. Math. 21(1964), 128. Google Scholar
[Nor85] [Nor85] Nori, M., On certain elliptic surfaces with maximal Picard number. Topology (2) 24 (1985), 175–186. Google Scholar
[SB85] [SB85] Stienstra, J. and Beukers, F., On the Picard-Fuchs equation and the formal Brauer group of certain elliptic K3-surfaces. Math. Ann. (2) 271 (1985), 269–304. Google Scholar
[Seb01] [Seb01] Sebbar, A., Classification of torsion-free genus zero congruence groups. Proc. Amer. Math. Soc. (9) 129 (2001), 2517–2527 (electronic). Google Scholar
[Shi71] [Shi71] Shimura, G., Introduction to the arithmetic theory of automorphic functions. Publications of the Math. Society of Japan 11, Iwanami Shoten, Publishers, Tokyo, 1971, Kan .o Memorial Lectures 1. Google Scholar
[Shi72] [Shi72] Shioda, T., On elliptic modular surfaces. J. Math. Soc. Japan 24 (1972), 20–59. Google Scholar
[SI77] [SI77] Shioda, T. and Inose, H., On singular K3 surfaces. In: Complex analysis and algebraic geometry, Iwanami Shoten, Tokyo, 1977, 119–136. Google Scholar
[Tat75] [Tat75] Tate, J., Algorithm for determining the type of a singular fiber in an elliptic pencil. In: Modular functions of one variable, IV (Proc. Internat. Summer School, Univ. Antwerp, Antwerp, 1972), Lecture Notes in Math. 476, Springer, Berlin, 1975, 33–52. Google Scholar
[Ver00] [Ver00] Verrill, H. A., The L-series of certain rigid Calabi-Yau threefolds. J. Number Theory (2) 81 (2000), 310–334. Google Scholar
[Yui01] [Yui01] Yui, N., Arithmetic of certain Calabi-Yau varieties and mirror symmetry. In: Arithmetic algebraic geometry (Park City, UT, 1999), IAS/Park City Math. Ser. 9, Amer. Math. Soc., Providence, RI, 2001, 507–569. Google Scholar
Cité par Sources :