Aoki, Noboru On some arithmetic problems related to the Hodge cycles on the Fermat varieties. (English) Zbl 0506.14030 Math. Ann. 266, 23-54 (1983); erratum ibid. 267, 572 (1984). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 8 Documents MSC: 14J25 Special surfaces 14C30 Transcendental methods, Hodge theory (algebro-geometric aspects) 14C22 Picard groups 11D41 Higher degree equations; Fermat’s equation Keywords:Hodge cycles; Fermat varieties; Hodge conjecture; Picard number Citations:Zbl 0408.14012; Zbl 0403.14007; Zbl 0463.14003; Zbl 0449.10029 PDFBibTeX XMLCite \textit{N. Aoki}, Math. Ann. 266, 23--54 (1983; Zbl 0506.14030) Full Text: DOI EuDML References: [1] Aoki, N., Shioda, T.: Generators of the Néron-Severi group of a Fermat surface (to appear) · Zbl 0586.14028 [2] Borevich, Z.I., Shafarevich, I.R.: Number theory. New York, London: Academic Press 1966 · Zbl 0145.04902 [3] Koblitz, N., Rohrlich, D.: Simple factors in the Jacobian of a Fermat curve. Can. J. Math.30, 1183-1205 (1978) · Zbl 0399.14023 · doi:10.4153/CJM-1978-099-6 [4] Koblitz, N., Ogus, A.: Algebraicity of some products of values of the ? function. Appendix to Deligne’s article in: AMS Proc. Symp. Pure Math.33, 343-345 (1979) · Zbl 0449.10029 [5] Kubert, D., Lang, S.: Modular units. Berlin, Heidelberg, New York: Springer 1981 · Zbl 0492.12002 [6] Kubert, D.: The universal ordinary distribution. Bull. Soc. Math. France107, 179-202 (1979) · Zbl 0409.12021 [7] Meyer, W., Neutsch, W.: Fermatquadrupel. Math. Ann.256, 51-62 (1981) · Zbl 0449.10014 · doi:10.1007/BF01450943 [8] Ran, Z.: Cycles on Fermat hypersurfaces. Compositio Math.42, 121-142 (1981) · Zbl 0463.14003 [9] Shioda, T.: the Hodge conjecture for Fermat varieties. Math. Ann.245, 175-184 (1979) · Zbl 0408.14012 · doi:10.1007/BF01428804 [10] Shioda, T.: On the Picard number of a Fermat surface. J. Fac. Sci. Univ. Tokyo.28, 725-734 (1982) · Zbl 0567.14021 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.