Kobayashi recently proved that the generalized Heegner cycles of Bertolini–Darmon–Prasanna can be interpolated along the anticyclotomic tower, giving rise to distribution valued cohomology classes with expected growth rate. We interpolate these classes along Coleman families. This construction plays a role in the proofs of $p$-adic Gross–Zagier formulae at for non-ordinary eigenforms and consequentially, also in the proof of a conjecture of Perrin-Riou.

中文翻译：

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Coleman 族中广义 Heegner 循环的插值

Kobayashi 最近证明了 Bertolini-Darmon-Prasanna 的广义 Heegner 循环可以沿着反旋切塔进行插值，从而产生具有预期增长率的分布值上同调类。我们沿科尔曼族插入这些类。这种构造在证明$磷$-adic Gross-Zagier 公式用于非普通特征形式，因此，也在 Perrin-Riou 猜想的证明中。