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arxiv: math/0605509 · v2 · submitted 2006-05-18 · 🧮 math.NT

Complete Reducibility of t-Motives

classification 🧮 math.NT
keywords pureanalysisannouncedbeencompletecontainscounterexamplescrucial
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This paper has been withdrawn. Counterexamples to the announced theorem can be made by observing that the natural map Ext(M,N)--> Ext(Lie(N),Lie(M)) is surjective and that the extension of two pure motives of the same weight is again pure. The proof contains a crucial mistake in the analysis of the ``glueing'' of trivialisations.

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