A primer for unstable motivic homotopy theory
Abstract
In this expository article, we give the foundations, basic facts, and first examples of unstable motivic homotopy theory with a view towards the approach of Asok-Fasel to the classification of vector bundles on smooth complex affine varieties. Our focus is on making these techniques more accessible to algebraic geometers.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2016
- DOI:
- 10.48550/arXiv.1605.00929
- arXiv:
- arXiv:1605.00929
- Bibcode:
- 2016arXiv160500929A
- Keywords:
-
- Mathematics - Algebraic Geometry;
- Mathematics - K-Theory and Homology;
- 13C10;
- 14F42;
- 19D06
- E-Print:
- Many updates and corrections, 58 pages, to appear in the proceedings volume "Bootcamp for the 2015 Algebraic Geometry Summer Research Institute (Utah, 2015)"