Cohomological correspondence categories
Algebraic Geometry
2020-06-10 v4
Abstract
We prove that homotopy invariance and cancellation properties are satisfied by any linear category of correspondences that is defined, via Calm\`es and Fasel's construction, by an underlying cohomology theory. In particular, this includes any category of correspondences arising from the cohomology theory defined by an MSL-algebra.
Cite
@article{arxiv.1808.05803,
title = {Cohomological correspondence categories},
author = {Andrei Druzhinin and Håkon Kolderup},
journal= {arXiv preprint arXiv:1808.05803},
year = {2020}
}