A primer for unstable motivic homotopy theory-Reference-Cited by-同舟云学术

A primer for unstable motivic homotopy theory

Published:2017 Issue: Volume: Page:305-370
ISSN:0082-0717
Container-title:Proceedings of Symposia in Pure Mathematics
language:en
Short-container-title:

Author:

Antieau Benjamin,Elmanto Elden

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.

Publisher

American Mathematical Society

Reference78 articles.

1. London Mathematical Society Lecture Note Series;Adámek, Jiří,1994

2. What are sifted colimits?;Adámek, J.;Theory Appl. Categ.,2010

3. Lecture Notes in Mathematics, No. 100;Artin, M.,1969

4. Remarks on 𝔸¹-homotopy groups of smooth toric models;Asok, Aravind;Math. Res. Lett.,2011

5. Splitting vector bundles and 𝔸¹-fundamental groups of higher-dimensional varieties;Asok, Aravind;J. Topol.,2013

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