We survey some topics in A1 -homotopy theory. Our main goal is to highlight the interplay between A1 -homotopy theory and affine algebraic geometry, focusing on the varieties that are "contractible" from various standpoints.
A1 -homotopy Theory and Contractible Varieties: A Survey / A. Asok, P.A. Oestvaer (LECTURE NOTES IN MATHEMATICS). - In: Homotopy Theory and Arithmetic Geometry - Motivic and Diophantine Aspects / [a cura di] F. Neumann, A. Pal. - Prima edizione. - [s.l] : Springer Science and Business Media Deutschland GmbH, 2021. - ISBN 978-3-030-78976-3. - pp. 145-212 [10.1007/978-3-030-78977-0_5]
A1 -homotopy Theory and Contractible Varieties: A Survey
P.A. Oestvaer
2021
Abstract
We survey some topics in A1 -homotopy theory. Our main goal is to highlight the interplay between A1 -homotopy theory and affine algebraic geometry, focusing on the varieties that are "contractible" from various standpoints.
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