Reciprocity sheaves

Bruno Kahn, Shuji Saito, Takao Yamazaki, Kay Rülling

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


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 languageEnglish
Pages (from-to)1851-1898
Number of pages48
JournalCompositio Mathematica
Issue number9
Publication statusPublished - 2016 Sep 1


  • Weil reciprocity
  • homotopy invariance
  • presheaves with transfers

ASJC Scopus subject areas

  • Algebra and Number Theory


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