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arXiv:2108.04163 [math.AG]AbstractReferencesReviewsResources

Steinberg symbols and reciprocity sheaves

Junnosuke Koizumi

Published 2021-08-09Version 1

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.

Comments: 26 pages
Categories: math.AG, math.KT, math.NT
Subjects: 14F42, 19D45
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