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arXiv:2108.01006 [math.AG]AbstractReferencesReviewsResources

Strict $\mathbb A^1$-invariance theorem with integral coefficients over fields

Andrei Druzhinin

Published 2021-08-02Version 1

We extend the generality of the theory of framed motives by G. Garkusha and I. Panin to the case of a non-perfect base field by proving the strict homotopy invariance theorem. We prove the exactness of the Cousin complex on the complement to a smooth divisor in an essentially smooth local scheme. The result is new for the case of classical Voevodsky's transfers.

Categories: math.AG
Subjects: 14F42
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