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ON THE EXCEPTIONAL SPECIALIZATIONS OF BIG HEEGNER POINTS
Published online by Cambridge University Press: 04 February 2016
Abstract
We extend the $p$-adic Gross–Zagier formula of Bertolini et al. [Generalized Heegner cycles and
$p$-adic Rankin
$L$-series, Duke Math. J.162(6) (2013), 1033–1148] to the semistable non-crystalline setting, and combine it with our previous work [Castella, On the
$p$-adic variation of Heegner points, Preprint, 2014, arXiv:1410.6591] to obtain a derivative formula for the specializations of Howard’s big Heegner points [Howard, Variation of Heegner points in Hida families, Invent. Math.167(1) (2007), 91–128] at exceptional primes in the Hida family.
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 17 , Issue 1 , February 2018 , pp. 207 - 240
- Copyright
- © Cambridge University Press 2016
References
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