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Complete Reducibility of t-Motives

Number Theory 2007-05-23 v2

Abstract

This paper has been withdrawn.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.

Keywords

Cite

@article{arxiv.math/0605509,
  title  = {Complete Reducibility of t-Motives},
  author = {Lenny Taelman},
  journal= {arXiv preprint arXiv:math/0605509},
  year   = {2007}
}

Comments

This paper has been withdrawn