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References
Aoki, N.: On some arithmetic problems related to the Hodge cycles on the Fermat varieties, preprint.
Aoki, N. and Shioda T.: Generators of the Néron-Severi group of a Fermat surface, the Shafarevich volume (ed. Artin, M. and Tate, J.), Birkhäuser, Boston, (to appear).
Borevich, Z.I. and Shafarevich, I.R.: Number Theory, Academic Press, New York and London, 1966.
Deligne, P.: Le théorème de Noether, Exp. XIX, SGA 7II, S.L.N. 340 (1973), 328–340.
Delsarte, J.: Nombres de solutions des equations polynomials sur un corps fini, Sém. Bourbaki no39 (1951), 1–9.
Griffiths, P.: On the periods of certain rational integrals I, Ann. of Math. 90 (1969), 460–495.
Lang, S.: Cyclotomic Fields, Springer-Verlag, New York-Heidelberg-Berlin, 1978.
Meyer, W. and Neutsch, N.: Fermatquadrupel, Math. Ann. 256 (1981), 51–62.
Milne, J.: On a conjecture of Artin and Tate, Ann. of Math. 102 (1975), 517–533.
Ogus, A.: Griffiths transversality in crystalline cohomology, Ann. of Math. 108 (1978), 395–419.
Shioda, T.: The Hodge Conjecture for Fermat varieties, Math. Ann. 245 (1979), 175–184.
Shioda, T.: The Hodge Conjecture and the Tate Conjecture for Fermat varieties, Proc. Japan Acad. 55 (1979), 111–114.
Shioda, T.: On the Picard number of a complex projective variety, Ann. Scient. Ec. Norm. Sup. 14 (1981), 303–321.
Shioda, T.: On the Picard number of a Fermat surface, J. Fac. Sci. Univ. Tokyo, Sect. IA, 28 (1982), 725–734.
Shioda, T.: Geometry of Fermat varieties, Proc. Conf. on "Modern Trends in Number Theory related to Fermat’s Last Theorem" (ed. Koblitz, N.), Birkhäuser, Boston (to appear).
Tate, J.: Algebraic cycles and poles of zeta functions, in "Arithmetical Algebraic Geometry", Harper and Row, New York, 1965.
Weil, A.: Numbers of solutions of equations in finite fields, Bull. Am. Math. Soc. 55 (1949), 497–508.
Weil, A.: Jacobi sums as Grössencharaktere", Trans. Am. Math. Soc. 73 (1952), 487–495.
Weil, A.: Sommes de Jacobi et caractères de Hecke, Nachr. Akad. Wiss. Göttingen (1974), 1–14.
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Shioda, T. (1983). Algebraic cycles on a certain hypersurface. In: Raynaud, M., Shioda, T. (eds) Algebraic Geometry. Lecture Notes in Mathematics, vol 1016. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099967
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DOI: https://doi.org/10.1007/BFb0099967
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