Steinberg symbols and reciprocity sheaves
Algebraic Geometry
2023-03-15 v3 K-Theory and Homology
Number Theory
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.
Cite
@article{arxiv.2108.04163,
title = {Steinberg symbols and reciprocity sheaves},
author = {Junnosuke Koizumi},
journal= {arXiv preprint arXiv:2108.04163},
year = {2023}
}
Comments
28 pages, 4 figures, to appear in Ann. K-Theory