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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A remark on a theorem by Deligne


Author: M. Van den Bergh
Journal: Proc. Amer. Math. Soc. 132 (2004), 2857-2858
MSC (2000): Primary 18E30
Published electronically: June 2, 2004
MathSciNet review: 2063103
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Abstract | References | Similar Articles | Additional Information

Abstract: We give a proof avoiding spectral sequences of Deligne's decomposition theorem for objects in a triangulated category admitting a Lefschetz homomorphism.


References [Enhancements On Off] (What's this?)

  • 1. P. Deligne, Théorème de Lefschetz et critères de dégénérescence de suites spectrales, Inst. Hautes Études Sci. Publ. Math. 35 (1968), 259–278 (French). MR 0244265 (39 #5582)
  • 2. Pierre Deligne, Décompositions dans la catégorie dérivée, Motives (Seattle, WA, 1991) Proc. Sympos. Pure Math., vol. 55, Amer. Math. Soc., Providence, RI, 1994, pp. 115–128 (French). MR 1265526 (95h:18013)

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Additional Information

M. Van den Bergh
Affiliation: Departement WNI, Limburgs Universitair Centrum, 3590 Diepenbeek, Belgium
Email: vdbergh@luc.ac.be

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07334-4
PII: S 0002-9939(04)07334-4
Keywords: Triangulated categories, spectral sequence
Received by editor(s): February 11, 2003
Published electronically: June 2, 2004
Additional Notes: The author is a senior researcher at the FWO
Communicated by: Lance W. Small
Article copyright: © Copyright 2004 American Mathematical Society