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A short proof of de Shalit's cup product formula

Amnon Besser
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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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Amnon Besser. 2004-05-08. A short proof of de Shalit's cup product formula. https://arxiv.org/abs/math/0405147

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