A pro-cdh topology on formal schemes
Algebraic Geometry
2024-09-24 v1
Abstract
We introduce a pro-cdh topology on formal schemes and prove that the -topos of pro-cdh sheaves of spaces has an optimal bound of homotopy dimension. This remedies a defect for a pro-cdh topology on schemes introduced in [KS23]. As an application, we give a topos-theoretic interpretation of Weibel's vanishing of negative K-theory and motivic cohomology of Elmanto and Morrow.
Cite
@article{arxiv.2409.14295,
title = {A pro-cdh topology on formal schemes},
author = {Shane Kelly and Shuji Saito},
journal= {arXiv preprint arXiv:2409.14295},
year = {2024}
}