Algebraic vector bundles on spheres

Details Algebraic vector bundles on spheres Algebraic vector bundles on spheres

2012-04-20

arxiv.org/abs/1204.4538v1

Mathematics

Algebraic Geometry

25 pages; Comments welcome!

Scientific paper

We complete the determination of the first non-stable A^1-homotopy sheaf of SL_n by treating the case where n is even. Using techniques of obstruction theory involving the A^1-Postnikov tower, supported by some ideas from the theory of unimodular rows, we classify vector bundles of rank \geq [d/2] on split smooth affine quadrics of dimension d. These computations allow us to answer a question posed by Nori, which gives a criterion for completability of certain unimodular rows. Furthermore, we study compatibility of our computations of A^1-homotopy sheaves with real and complex realization.

Affiliated with

Also associated with

No associations

Rating

Algebraic vector bundles on spheres 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 Algebraic vector bundles on spheres, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Algebraic vector bundles on spheres will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-5275