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- W3217808220 abstract "We construct a theory of higher local symbols along Parsin chains for reciprocity sheaves. Applying this formalism to differential forms, gives a new construction of the Parsin-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.
- W3217808220 created "2021-12-06" @default.
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- W3217808220 date "2021-11-26" @default.
- W3217808220 modified "2023-10-18" @default.
- W3217808220 title "Ramification theory of reciprocity sheaves, II, Higher local symbols" @default.
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- W3217808220 doi "https://doi.org/10.48550/arxiv.2111.13373" @default.
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