English

A primer for unstable motivic homotopy theory

Algebraic Geometry 2016-11-08 v2 K-Theory and Homology

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.

Keywords

Cite

@article{arxiv.1605.00929,
  title  = {A primer for unstable motivic homotopy theory},
  author = {Benjamin Antieau and Elden Elmanto},
  journal= {arXiv preprint arXiv:1605.00929},
  year   = {2016}
}

Comments

Many updates and corrections, 58 pages, to appear in the proceedings volume "Bootcamp for the 2015 Algebraic Geometry Summer Research Institute (Utah, 2015)"