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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
MathSciNet review:
2063103
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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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Additional Information:
M.
Van den Bergh
Affiliation:
Departement WNI, Limburgs Universitair Centrum, 3590 Diepenbeek, Belgium
Email:
vdbergh@luc.ac.be
DOI:
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
Posted:
June 2, 2004
Additional Notes:
The author is a senior researcher at the FWO
Communicated by:
Lance W. Small
Copyright of article:
Copyright
2004,
American Mathematical Society
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