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math.NT2013
A General Reciprocity Law for Symbols on Arbitrary Vector Spaces
Fernando Pablos Romo
The aim of this work is to offer a general theory of reciprocity laws for symbols on arbitrary vector spaces, and to show that classical explicit reciprocity laws are particular ca…
math.NT2008
A General Reciprocity Law on arbitrary Vector Spaces
Fernando Pablos Romo
The paper contained a preliminary version of a general theory of reciprocity laws on vector spaces.
math.NT2002★ 1 cited
Simple proofs of classical explicit reciprocity laws on curves using determinant groupoids over an artinian local ring
Greg W. Anderson, Fernando Pablos Romo
The notion of determinant groupoid is a natural outgrowth of the theory of the Sato Grassmannian and thus well-known in mathematical physics. We briefly sketch here a version of th…