Power structures on the Grothendieck--Witt ring and the motivic Euler characteristic
Number Theory
2025-03-26 v3
Abstract
For a field, we construct a power structure on the Grothendieck--Witt ring of which has the potential to be compatible with symmetric powers of varieties and the motivic Euler characteristic. We then show this power structure is compatible with the power structure when we restrict to varieties of dimension .
Keywords
Cite
@article{arxiv.2309.03366,
title = {Power structures on the Grothendieck--Witt ring and the motivic Euler characteristic},
author = {Jesse Pajwani and Ambrus Pál},
journal= {arXiv preprint arXiv:2309.03366},
year = {2025}
}
Comments
20 pages, comments welcome! Minor fixes