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Steinberg symbols and
reciprocity sheaves
Junnosuke Koizumi |
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Vol. 7 (2022), No. 4, 695–730
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DOI: 10.2140/akt.2022.7.695
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Abstract |
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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. |
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Keywords
reciprocity sheaf, Suslin homology with modulus,
nonhomotopy invariant motive
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Mathematical Subject Classification
Primary: 14F42
Secondary: 19D45
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Milestones
Received: 2 September 2021
Revised: 14 September 2022
Accepted: 2 October 2022
Published: 15 March 2023
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Authors |
| Junnosuke Koizumi | |
| Graduate School of Mathematical
Sciences University of Tokyo Tokyo Japan |
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