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A short proof of de Shalit’s cup product formula
Authors:Amnon Besser
Institution:(1) Department of Mathematics, Ben-Gurion University of the Negev, P.O.B. 653, 84105 Be'er-Sheva, Israel
Abstract:We give a short proof of a formula of de Shalit, expressing the cup product of two vector-valued one-forms of the second kind on a Mumford curve in terms of Coleman integrals and residues. The proof uses the notion of double indices on curves and their reciprocity laws.
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