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arxiv: math/0012152 · v1 · submitted 2000-12-18 · 🧮 math.NT · math.AG

Invitation to higher local fields, Part II, section 2: Adelic constructions for direct images of differentials and symbols

classification 🧮 math.NT math.AG
keywords differentialssymbolsadelicconstructionsdirectimagesrelativeapplied
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This work introduces adelic constructions of direct images of differentials and symbols in the two-dimensional case in the relative situation. In particular, reciprocity laws for relative residues of differentials and symbols are stated and applied to a construction of the Gysin map for Chow groups.

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