Galois actions on the pro-l-unipotent fundamental group

Research output: Working paper

Abstract

This paper establishes restrictions on the possible Galois actions on the pro-l-unipotent fundamental group of a smooth variety X of good reduction over a local field K. In particular, if X is proper and l is not equal to the residue characteristic p of K, then this action is uniquely determined by the action on cohomology. A similar result for l=p is then proved via a comparison theorem between the crystalline and pro-p homotopy types.
Original languageEnglish
Publication statusPublished - 18 Apr 2004

Keywords

  • 14G32;14F35
  • math.AG
  • math.NT

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