Stable $\mathbb{A}^1$-connectivity over Dedekind schemes
Algebraic Geometry
2018-04-04 v3 Algebraic Topology
Abstract
We show that -localization decreases the Nisnevich-stalkwise connectivity by at most one over a Dedekind scheme with infinite residue fields. For the proof, we establish a Nisnevich-local version of Gabber's geometric presentation lemma over a henselian discrete valuation ring with infinite residue field.
Cite
@article{arxiv.1602.08356,
title = {Stable $\mathbb{A}^1$-connectivity over Dedekind schemes},
author = {Johannes Schmidt and Florian Strunk},
journal= {arXiv preprint arXiv:1602.08356},
year = {2018}
}
Comments
Final version (to appear in Ann. K-Theory)