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Pablos Romo, Fernando 2025-03-05T11:14:21Z 2025-03-05T11:14:21Z 2018 A general reciprocity law for symbols on arbitrary vector spaces Fernando Pablos Romo (1Departamento de Matemáticas and Instituto Universitario de, Física Fundamental y Matemáticas, Universidad de Salamanca, Plaza de la Merced 1-4, 37008 Salamanca, España) Journal of Algebra and Its Applications 2018 17:06 0219-4988. 1793-6829 http://hdl.handle.net/10366/164055 10.1142/S0219498818501013 [EN]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 cases of this theory (sum of valuations on a complete curve, Residue Theorem, Weil Reciprocity Law and the Reciprocity Law for the Hilbert Norm Residue Symbol). Moreover, several reciprocity laws introduced over the past few years by D. V. Osipov, A. N. Parshin, I. Horozov, I. Horozov — M. Kerr and the author — together with D. Hernández Serrano — can also be deduced from this general expression. eng info:eu-repo/semantics/embargoedAccess Symbols Reciprocity laws Vector spaces A general reciprocity law for symbols on arbitrary vector spaces info:eu-repo/semantics/article