A short proof of de Shalit's cup product formula
classification
🧮 math.NT
math.AG
keywords
proofformulaproductshalitshortcolemancurvecurves
read the original 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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