Perverse homotopy heart and MW-modules - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

Perverse homotopy heart and MW-modules

Résumé

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.

Dates et versions

hal-03890996 , version 1 (08-12-2022)

Identifiants

Citer

Frédéric Déglise, Niels Feld, Fangzhou Jin. Perverse homotopy heart and MW-modules. 2022. ⟨hal-03890996⟩
24 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More