Ran, Ziv Cycles on Fermat hypersurfaces. (English) Zbl 0463.14003 Compos. Math. 42, 121-142 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 14 Documents MSC: 14C30 Transcendental methods, Hodge theory (algebro-geometric aspects) 14J40 \(n\)-folds (\(n>4\)) Keywords:Fermat hypersurfaces; roots of unity; generalized Hodge conjecture Citations:Zbl 0403.14007; Zbl 0408.14012 PDFBibTeX XMLCite \textit{Z. Ran}, Compos. Math. 42, 121--142 (1980; Zbl 0463.14003) Full Text: Numdam EuDML References: [1] A. Grothendieck : Hodge’s general conjecture is false for trivial reasons . Topology, 8 (1969) 299-303. · Zbl 0177.49002 · doi:10.1016/0040-9383(69)90016-0 [2] W.V.D. Hodge : The topological invariants of algebraic varieties , Proc. Int’l Cong. Math., Cambridge, 1950, Vol. 1. · Zbl 0048.41701 [3] N. Koblitz and A. Ogus : Algebraicity of some products of values of the \Gamma function . Proc. Symp. Pure Math., 33 (1979), part 2, 343-345. · Zbl 0449.10029 [4] S. Lefschetz : L’Analysis Situs et la Géométrie Algébrique , Gauthier-Villars, Paris, 1924. · JFM 50.0663.01 [5] A. Landman : On the Picard-Lefschetz transformation for algebraic varieties acquiring general singularities , TAMS, 181 (1973) 89-126. · Zbl 0284.14005 · doi:10.2307/1996622 [6] A. Ogus : Griffiths transversality in crystalline cohomology , §3. Ann. of Math., 108, Sept., 1978. · Zbl 0362.14007 · doi:10.2307/1971182 [7] W. Parry : Personal communication ; (to appear). [8] A. Wallace : Homology Theory on Algebraic Varieties . Pergamon Press, Oxford-London- New York, 1958. · Zbl 0100.16303 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.