The Morel-Voevodsky localization theorem in spectral algebraic geometry
Algebraic Topology
2020-01-08 v4 Algebraic Geometry
K-Theory and Homology
Abstract
We prove an analogue of the Morel-Voevodsky localization theorem over spectral algebraic spaces. As a corollary we deduce a "derived nilpotent invariance" result which, informally speaking, says that A^1-homotopy invariance kills all higher homotopy groups of a connective commutative ring spectrum.
Keywords
Cite
@article{arxiv.1610.06871,
title = {The Morel-Voevodsky localization theorem in spectral algebraic geometry},
author = {Adeel A. Khan},
journal= {arXiv preprint arXiv:1610.06871},
year = {2020}
}
Comments
27 pages, minor revisions; to appear in Geometry & Topology