A^1-homotopy theory and contractible varieties: a survey

Aravind Asok; Paul Arne {\O}stv{\ae}r

arxiv: 1903.07851 · v1 · pith:L7QGNYXKnew · submitted 2019-03-19 · 🧮 math.AG · math.AT· math.GT· math.HO· math.KT

A¹-homotopy theory and contractible varieties: a survey

Aravind Asok , Paul Arne {\O}stv{\ae}r This is my paper

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keywords homotopytheorycontractiblemathbbsurveyvarietiesaffinealgebraic

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We survey some topics in ${\mathbb A}^1$-homotopy theory. Our main goal is to highlight the interplay between ${\mathbb A}^1$-homotopy theory and affine algebraic geometry, focusing on the varieties that are "contractible" from various standpoints.

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A¹-homotopy theory and contractible varieties: a survey

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