Nisnevich equivalences of local essentially smooth open pairs

Autor:	Druzhinin, A. E., Urzabaev, A. A.
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry 14F35 14F42 19E15 55P99
Druh dokumentu:	Working Paper
Popis:	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. Comment: 7 pages. The main result (Theorem A) in the new version was Theorem 2.11 in the old version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2311.16264 Zobrazit plný text záznamu View this record from Arxiv