An Explicit Reciprocity Law Associated to Some Finite Coverings of Algebraic Curves
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We provide a new reciprocity law associated with finite coverings of algebraic curves. Moreover, we give explicit examples of this new reciprocity law that are not trivial consequences of the Weil reciprocity law over the base curve.
KeywordsReciprocity law Steinberg symbol Algebraic curve Finite covering
Mathematics Subject Classification19F15 (Primary) 14H05 (Secondary)
- 3.Arbarello, E., de Concini, C., Kac, V.G.: The infinite wedge representation and the reciprocity law for algebraic curves. In: Proceeding of Symposia in pure mathematics, 49, 171–190 (1989)Google Scholar
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