Tensor structures in the theory of modulus presheaves with transfers

Kay Rülling, Rin Sugiyama, Takao Yamazaki

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


The tensor product of A1-invariant sheaves with transfers introduced by Voevodsky is generalized to reciprocity sheaves via the theory of modulus presheaves with transfers. We prove several general properties of this construction and compute it in some cases. In particular we obtain new (motivic) presentations of the absolute Kähler differentials and the first infinitesimal neighborhood of the diagonal.

Original languageEnglish
Pages (from-to)929-977
Number of pages49
JournalMathematische Zeitschrift
Issue number1
Publication statusPublished - 2022 Jan


  • Non-homotopy invariant motive
  • Somekawa K-group
  • Suslin homology with modulus

ASJC Scopus subject areas

  • Mathematics(all)


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