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arXiv · 2210.14832

Perverse homotopy heart and MW-modules

Frédéric Déglise·Niels Feld·Fangzhou Jin
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Abstract

We compute the perverse delta-homotopy heart of the motivic stable homotopy category over a base scheme with a dimension function delta, rationally or after inverting the exponential characteristic in the equicharacteristic case. In order to do that, we define the notion of homological Milnor-Witt cycle modules and construct a homotopy-invariant Rost-Schmid cycle complex. Moreover, we define the category of cohomological Milnor-Witt cycle modules and show a duality result in the smooth case.

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Frédéric Déglise, Niels Feld, Fangzhou Jin. 2022-10-26. Perverse homotopy heart and MW-modules. https://arxiv.org/abs/2210.14832

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