Spectral Excision and Descent for Almost Perfect Complexes
Algebraic Geometry
2023-12-29 v2 K-Theory and Homology
Abstract
We show that almost perfect complexes of commutative ring spectra satisfy excision and -descent. These results generalize Milnor excision for perfect complexes of ordinary commutative rings and -descent for almost perfect complexes of locally noetherian derived stacks by Halpern-Leistner and Preygel, respectively.
Cite
@article{arxiv.2210.13679,
title = {Spectral Excision and Descent for Almost Perfect Complexes},
author = {Chang-Yeon Chough},
journal= {arXiv preprint arXiv:2210.13679},
year = {2023}
}
Comments
11 pages, comments welcome; generalized the main results of the initial version to almost perfect complexes