Cohomological Hasse principle and motivic cohomology for arithmetic schemes

Details Cohomological Hasse principle and motivic cohomology for arithmetic schemes Cohomological Hasse principle and motivic cohomology for arithmetic schemes

2010-10-28

arxiv.org/abs/1010.5930v3

Mathematics

Algebraic Geometry

47 pages, final version

Scientific paper

In 1985 Kazuya Kato formulated a fascinating framework of conjectures which generalizes the Hasse principle for the Brauer group of a global field to the so-called cohomological Hasse principle for an arithmetic scheme. In this paper we prove the prime-to-characteristic part of the cohomological Hasse principle. We also explain its implications on finiteness of motivic cohomology and special values of zeta functions.

Affiliated with

Also associated with

No associations

Rating

Cohomological Hasse principle and motivic cohomology for arithmetic schemes 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 Cohomological Hasse principle and motivic cohomology for arithmetic schemes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cohomological Hasse principle and motivic cohomology for arithmetic schemes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-583745