Semi-algebraic motives
Algebraic Geometry
2020-07-21 v1
Abstract
We define a category of motives for semi-algebraic spaces and show that it is trivial. This implies that there is no good extension of algebraic de Rham cohomology to semi-algebraic spaces compatible with the period isomorphism.
Keywords
Cite
@article{arxiv.2007.10166,
title = {Semi-algebraic motives},
author = {Annette Huber},
journal= {arXiv preprint arXiv:2007.10166},
year = {2020}
}