A short proof of de shalit's cup product formula

Amnon Besser

doi:10.1007/BF02777355

A short proof of de shalit's cup product formula

Amnon Besser

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	53-59
Number of pages	7
Journal	Israel Journal of Mathematics
Volume	151
DOIs	https://doi.org/10.1007/BF02777355
State	Published - 15 May 2006

ASJC Scopus subject areas

General Mathematics

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title = "A short proof of de shalit's cup product formula",

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.",

author = "Amnon Besser",

note = "Funding Information: ACKNOWLEDGEMENT: We would like to thank Michael Spiess for suggesting this project, and the referee for some useful comments. The author is supported by a grant from the Israel Science Foundation.",

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N1 - Funding Information: ACKNOWLEDGEMENT: We would like to thank Michael Spiess for suggesting this project, and the referee for some useful comments. The author is supported by a grant from the Israel Science Foundation.

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AB - 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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DO - 10.1007/BF02777355

M3 - Article

AN - SCOPUS:33646409041

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VL - 151

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JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

ER -

A short proof of de shalit's cup product formula

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