Geometric Construction of Generalized Local Symbols on Algebraic Curves
Algebraic Geometry
2020-07-07 v1
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.
Keywords
Cite
@article{arxiv.math/0405027,
title = {Geometric Construction of Generalized Local Symbols on Algebraic Curves},
author = {Fernando Pablos Romo},
journal= {arXiv preprint arXiv:math/0405027},
year = {2020}
}
Comments
22 pages