Geometric Construction of Generalized Local Symbols on Algebraic Curves
arXiv:math/0405027 · doi:10.1080/00927870903036347
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 over a perfect field 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.
arXiv comment22 pages