2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71104We 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 pagesNumber TheoryAlgebraic Geometry14G22; 14F40; 11F85; 11G20A short proof of de Shalit's cup product formulatext