Darmon's points and quaternionic Shimura varieties

Details Darmon's points and quaternionic Shimura varieties Darmon's points and quaternionic Shimura varieties

2011-04-17

arxiv.org/abs/1104.3338v1

Mathematics

Number Theory

30 pages

Scientific paper

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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