A going down theorem for Grothendieck Chow motives

Details A going down theorem for Grothendieck Chow motives A going down theorem for Grothendieck Chow motives

2010-01-05

arxiv.org/abs/1001.0645v3

Mathematics

Algebraic Geometry

Scientific paper

Let X be a geometrically split, geometrically irreducible variety over a field F satisfying Rost nilpotence principle. Consider a field extension E/F and a finite field K. We provide in this note a motivic tool giving sufficient conditions for so-called outer motives of direct summands of the Chow motive of X_E with coefficients in K to be lifted to the base field. This going down result has been used S. Garibaldi, V. Petrov and N. Semenov to give a complete classification of the motivic decompositions of projective homogeneous varieties of inner type E_6 and to answer a conjecture of Rost and Springer.

Affiliated with

Also associated with

No associations

Rating

A going down theorem for Grothendieck Chow motives does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A going down theorem for Grothendieck Chow motives, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A going down theorem for Grothendieck Chow motives will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-539974