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Reciprocity sheaves

Bruno Kahn, Shuji Saito and Takao Yamazaki

We start developing a notion of reciprocity sheaves, generalizing Voevodsky's homotopy invariant presheaves with transfers which were used in the construction of his triangulated categories of motives. We hope reciprocity sheaves will eventually lead to the definition of a larger triangulated category of motivic nature, encompassing non homotopy invariant phenomena.

Reference : Compositio Math. 152 (2016) 1851-1898 10.1112/S0010437X16007466

ArXiv link : https://arxiv.org/abs/1402.4201

Hal link : https://hal.archives-ouvertes.fr/hal-02740597v1

Comments on this version : With two appendices by Kay RĂ¼lling

Pdf :
Last version : 16-07-2021