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arXiv · 2311.16264

Nisnevich equivalences of local essentially smooth open pairs

A. E. Druzhinin·A. A. Urzabaev
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Abstract

In this note, we prove a Nisnevich local equivalence \begin{equation*} X/(X-Z)\simeq X^\prime/(X^\prime-Z^\prime) \end{equation*} for essentially smooth local schemes $X$ and $X^\prime$ of the same dimension over a base scheme $B$, and arbitrary isomorphic closed subschemes $Z$ and $Z^\prime$, with immediate applications in motivic homotopy theory.

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A. E. Druzhinin, A. A. Urzabaev. 2023-11-27. Nisnevich equivalences of local essentially smooth open pairs. https://arxiv.org/abs/2311.16264

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