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math.AG2025
The weight filtration on real singular homology is motivic
Raphaël Ruimy
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 c…
math.AG2025
Deligne 1-motives with torsion and étale motives
Raphaël Ruimy
We construct the motivic t-structure on 1-motives with integral coefficients over a scheme of characteristic zero or a Dedekind scheme. When we invert the residue characteristic ex…
math.AG2025
Integral Artin motives II: Perverse motives and Artin Vanishing Theorem
Raphaël Ruimy
In this text, we are mainly interested in the existence of the perverse motivic t-structures on the category of Artin étale motives with integral coefficients. We construct the per…