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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 aGL  ⁢   (  2  ){\mathrm{GL}(2)}    instance of a  p -adic Kudla program.

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