The weight filtration on real singular homology is motivic

Fuente: arXiv
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Autor principal: Ruimy, Raphaël
Formato: Preprint
Publicado: 2025
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author Ruimy, Raphaël
author_facet Ruimy, Raphaël
contents We give an alternative construction of Totaro's weight filtration on singular homology of the real points of a real algebraic variety. Our construction shows that this filtration comes from Bondarko's weight filtration on Voevodsky motives.
format Preprint
id arxiv_https___arxiv_org_abs_2510_13379
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The weight filtration on real singular homology is motivic
Ruimy, Raphaël
Algebraic Geometry
We give an alternative construction of Totaro's weight filtration on singular homology of the real points of a real algebraic variety. Our construction shows that this filtration comes from Bondarko's weight filtration on Voevodsky motives.
title The weight filtration on real singular homology is motivic
topic Algebraic Geometry
url https://arxiv.org/abs/2510.13379