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A short proof of de Shalit’s cup product formula

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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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Authors and Affiliations

  1. Department of Mathematics, Ben-Gurion University of the Negev, P.O.B. 653, 84105, Be'er-Sheva, Israel

    Amnon Besser

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  1. Amnon Besser
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Besser, A. A short proof of de Shalit’s cup product formula. Isr. J. Math. 151, 53–59 (2006). https://doi.org/10.1007/BF02777355

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  • DOI: https://doi.org/10.1007/BF02777355

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