An exact sequence for Milnor's K-theory with applications to quadratic forms

Details An exact sequence for Milnor's K-theory with applications to quadratic forms An exact sequence for Milnor's K-theory with applications to quadratic forms

2001-01-03

arxiv.org/abs/math/0101023v1

Ann. of Math. (2) 165 (2007), no. 1, 1--13

Mathematics

Algebraic Geometry

Scientific paper

We construct a four-term exact sequence which provides information on the kernel and cokernel of the multiplication by a pure symbol in Milnor's K-theory mod 2 of fields of characteristic zero. As an application we establish, for fields of characteristics zero, the validity of three conjectures in the theory of quadratic forms - the Milnor conjecture on the structure of the Witt ring, the Khan-Rost-Sujatha conjecture and the J-filtration conjecture. The first version of this paper was written in the spring of 1996.

Affiliated with

Also associated with

No associations

Rating

An exact sequence for Milnor's K-theory with applications to quadratic forms 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 An exact sequence for Milnor's K-theory with applications to quadratic forms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An exact sequence for Milnor's K-theory with applications to quadratic forms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-590046