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arXiv · 2510.13379

The weight filtration on real singular homology is motivic

Raphaël Ruimy
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Abstract

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.

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Raphaël Ruimy. 2025-10-15. The weight filtration on real singular homology is motivic. https://arxiv.org/abs/2510.13379

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