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The 𝑝-adic variation of the Gross–Kohnen–Zagier theorem

Matteo Longo and Marc-Hubert Nicole EMAIL logo
From the journal Forum Mathematicum

Abstract

We relate p-adic families of Jacobi forms to big Heegner points constructed by B. Howard, in the spirit of the Gross–Kohnen–Zagier theorem. We view this as a GL(2) instance of a p-adic Kudla program.


Communicated by Henri Darmon


Acknowledgements

Part of this work has been done during visits of M.-H. N. at the Mathematics Department of the University of Padova, whose great hospitality he is grateful for. The paper was finalized during a visit of M. L. in Montréal supported by the grant of the CRM-Simons professorship held by M.-H. N. in 2017–2018 at the Centre de recherches mathématiques (C.R.M., Montréal). Both authors thank S. Zemel for useful email exchanges.

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Received: 2018-05-25
Revised: 2019-01-06
Published Online: 2019-06-13
Published in Print: 2019-07-01

© 2019 Walter de Gruyter GmbH, Berlin/Boston

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