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math.AG2024
Motivic Steenrod problem away from the characteristic
Toni Annala, Tobias Shin
In topology, the Steenrod problem asks whether every singular homology class is the pushforward of the fundamental class of a closed oriented manifold. Here, we introduce an analog…
math.AG2024
Atiyah duality for motivic spectra
Toni Annala, Marc Hoyois, Ryomei Iwasa
We prove that Atiyah duality holds in the -category of non--invariant motivic spectra over arbitrary derived schemes: every smooth projective scheme is dualiza…