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arXiv · 1104.3338

Darmon's points and quaternionic Shimura varieties

Jerome Gartner
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Abstract

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.

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Jerome Gartner. 2011-04-17. Darmon's points and quaternionic Shimura varieties. https://arxiv.org/abs/1104.3338

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