On spectra and affine strict polynomial functors
K-Theory and Homology
2022-07-27 v2
Abstract
We compare derived categories of the category of strict polynomial functors over a finite field and the category of ordinary endofunctors on the category of vector spaces. We introduce two intermediate categories: the category of --affine strict polynomial functors and the category of spectra of strict polynomial functors. They provide a conceptual framework for compuational theorems of Franjou--Friedlander--Scorichenko--Suslin and clarify the role of inverting Frobenius morphism in comparing rational and discrete cohomology.
Cite
@article{arxiv.1512.09285,
title = {On spectra and affine strict polynomial functors},
author = {Marcin Chałupnik},
journal= {arXiv preprint arXiv:1512.09285},
year = {2022}
}