arXiv Open Access 2025

The weight filtration on real singular homology is motivic

Raphaël Ruimy

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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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math.AG

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Raphaël Ruimy

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Ruimy, R. (2025). The weight filtration on real singular homology is motivic. https://arxiv.org/abs/2510.13379

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Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓