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arxiv: 1605.00929 · v2 · pith:2SQKU6DCnew · submitted 2016-05-03 · 🧮 math.AG · math.KT

A primer for unstable motivic homotopy theory

classification 🧮 math.AG math.KT
keywords homotopymotivictheoryunstableaccessibleaffinealgebraicapproach
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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.

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