Complete Reducibility of t-Motives

Mathematics – Number Theory

Scientific paper

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This paper has been withdrawn

Scientific paper

This paper has been withdrawn.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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