A short proof of de Shalit's cup product formula

Details A short proof of de Shalit's cup product formula A short proof of de Shalit's cup product formula

2004-05-08

arxiv.org/abs/math/0405147v1

Mathematics

Number Theory

5 pages

Scientific paper

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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