A short proof of de Shalit's cup product formula

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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.
5 pages

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Number Theory, Algebraic Geometry, 14G22; 14F40; 11F85; 11G20

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http://salesiana.dossiersoluciones.com/handle/123456789/71104

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405147
 http://arxiv.org/abs/math/0405147

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arXiv