Título
An idelic quotient related to Weil reciprocity and the Picard group
Autor(es)
Palabras clave
Weil reciprocity law
Class field theory
Algebraic curves
Function fields
Fecha de publicación
2019
Editor
SPRINGER
Citación
Muñoz Porras, J.M., Navas Vicente, L.M., Pablos Romo, F. et al. An idelic quotient related to Weil reciprocity and the Picard group. Collect. Math. 71, 151–171 (2020). https://doi.org/10.1007/s13348-019-00252-7
Resumen
[EN]This paper studies the function field of an algebraic curve over an arbitrary perfect field by using the Weil reciprocity law and topologies on the adele ring. A topological subgroup of the idele class group is introduced and it is shown how it encodes arithmetic properties of the base field and of the Picard group of the curve. These results are applied to study extensions of the function field.
URI
ISSN
0010-0757
DOI
10.1007/s13348-019-00252-7
Versión del editor
Collections
