Abstract
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 that reciprocity sheaves will eventually lead to the definition of larger triangulated categories of motivic nature, encompassing non-homotopy invariant phenomena.
Original language | English |
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Pages (from-to) | 1851-1898 |
Number of pages | 48 |
Journal | Compositio Mathematica |
Volume | 152 |
Issue number | 9 |
DOIs | |
Publication status | Published - 2016 Sep 1 |
Keywords
- Weil reciprocity
- homotopy invariance
- presheaves with transfers
ASJC Scopus subject areas
- Algebra and Number Theory