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Darmon’s Points and Quaternionic Shimura Varieties

Published online by Cambridge University Press:  20 November 2018

Jérôme Gärtner*
Affiliation:
Insitut de Mathématiques de Jussieu, Université Pierre et Marie Curie, 4 place Jussieu 75005, Paris, France email: jgartner@math.jussieu.fr
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Abstract

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In this paper, we generalize a conjecture due to Darmon and Logan in an adelic setting. We study the relation between our construction and Kudla's works on cycles on orthogonal Shimura varieties. This relation allows us to conjecture a Gross-Kohnen-Zagier theorem for Darmon's points.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2012

References

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