科研之友
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摘要
We determine the first non-stable A(1)-homotopy sheaf of SLn. 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 at least d - 1 on split smooth affine quadrics of dimension 2d - 1. 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.
- 出版日期2014-9
