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A remark on a theorem by Deligne

Author(s): M. Van den Bergh
Journal: Proc. Amer. Math. Soc. 132 (2004), 2857-2858.
MSC (2000): Primary 18E30
Posted: June 2, 2004
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Abstract: We give a proof avoiding spectral sequences of Deligne's decomposition theorem for objects in a triangulated category admitting a Lefschetz homomorphism.

References:

1.: P. Deligne, Théorème de Lefschetz et critères de dégénérescence de suites spectrales, Inst. Hautes Études Sci. Publ. Math., no. 35 (1968), 259-278. MR 39:5582
2.: P. Deligne, Décompositions dans la catégorie dérivée, Motives (Seattle, WA, 1991), Proc. Sympos. Pure Math., vol. 55, Part 1, Amer. Math. Soc., Providence, RI, 1994, pp. 115-128. MR 95h:18013


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