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- W4383218589 abstract "Abstract We construct a theory of higher local symbols along Paršin chains for reciprocity sheaves. Applying this formalism to differential forms, gives a new construction of the Paršin–Lomadze residue maps, and applying it to the torsion characters of the fundamental group gives back the reciprocity map from Kato’s higher local class field theory in the geometric case. The higher local symbols satisfy various reciprocity laws. The main result of the paper is a characterization of the modulus attached to a section of a reciprocity sheaf in terms of the higher local symbols." @default.
- W4383218589 created "2023-07-06" @default.
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- W4383218589 date "2023-07-05" @default.
- W4383218589 modified "2023-10-16" @default.
- W4383218589 title "Ramification theory of reciprocity sheaves, II Higher local symbols" @default.
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- W4383218589 doi "https://doi.org/10.1007/s40879-023-00655-8" @default.
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