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Resumen de An idelic quotient related to Weil reciprocity and the Picard group

José María Muñoz Porras Árbol académico, Luis Manuel Navas Vicente Árbol académico, Fernando Pablos Romo Árbol académico, Francisco José Plaza Martín Árbol académico

  • 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.

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