Steinberg symbols and reciprocity sheaves
arXiv:2108.04163 · doi:10.2140/akt.2022.7.695
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.
28 pages, 4 figures, to appear in Ann. K-Theory