Duality and the topological filtration

Details Duality and the topological filtration Duality and the topological filtration

2010-06-08

arxiv.org/abs/1006.1482v3

Mathematics

Algebraic Geometry

new section with applications to the torsion in Chow groups of quadrics

Scientific paper

We investigate some relations between the duality and the topological filtration in algebraic K-theory. As a result, we obtain a construction of the first Steenrod square for Chow groups modulo two of varieties over a field of arbitrary characteristic. This improves previously obtained results, in the sense that it is not anymore needed to mod out the image modulo two of torsion integral cycles. Along the way we construct a lifting of the first Steenrod square to algebraic connective K-theory with integral coefficients, and homological Adams operations in this theory. Finally we provide some applications to the Chow groups of quadrics.

Affiliated with

Also associated with

No associations

Rating

Duality and the topological filtration 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 Duality and the topological filtration, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Duality and the topological filtration will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-29771