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Abstract
We study multilinear symbols on fields taking values in reciprocity sheaves. We prove
that any such symbol satisfying natural axioms automatically has Steinberg-type
relations, which is a manifestation of the geometry of modulus pairs lying
behind.
Keywords
reciprocity sheaf, Suslin homology with modulus,
nonhomotopy invariant motive
Mathematical Subject Classification
Primary: 14F42
Secondary: 19D45
Milestones
Received: 2 September 2021
Revised: 14 September 2022
Accepted: 2 October 2022
Published: 15 March 2023
