The p-adic Variation of the Gross-Kohnen-Zagier Theorem

Matteo Longo (1) , Marc-Hubert Nicole (2)

1 Dipartimento di Matematica [padova]
2 I2M - Institut de Mathématiques de Marseille

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.

Domaines: Théorie des nombres [math.NT]; Géométrie algébrique [math.AG]

Matteo Longo, Marc-Hubert Nicole. The p-adic Variation of the Gross-Kohnen-Zagier Theorem. Forum Mathematicum, 2019, 31 (4), pp.1069-1084. ⟨hal-01798751v2⟩