Reciprocity Laws Related to Finite Potent Endomorphisms

Abstract

[EN] The aim of this work is to offer a survey of results about the structure of finite potent endomorphisms, including the definitions of a trace and a determinant for them, and reciprocity laws related to these linear operators. As particular cases we offer proofs of the Residue Theorem and a reciprocity law for the Segal-Wilson pairing.