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Geometric Construction of Generalized Local Symbols on Algebraic Curves

Fernando Pablos Romo
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Abstract

The aim of this work is to provide a construction of generalized local symbols on algebraic curves as morphisms of group schemes. From a closed point of a complete, irreducible and non-singular curve $C$ over a perfect field $k$ as the only data, using theta groups over Picard schemes of curves, we offer a geometric construction that allows us to define generalizations of the tame symbol and the Hilbert norm residue symbol.

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BibTeXRIS

Fernando Pablos Romo. 2004-05-03. Geometric Construction of Generalized Local Symbols on Algebraic Curves. https://doi.org/10.1080/00927870903036347

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