Matteo Longo

collaborators

2 papers

math.NT2019

$Λ$ -adic Families of Jacobi Forms

Matteo Longo, Marc-Hubert Nicole

We show that Hida's families of $p$ -adic elliptic modular forms generalize to $p$ -adic families of Jacobi forms. We also construct $p$ -adic versions of theta lifts from elliptic mo…

math.NT2018

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

Matteo Longo, Marc-Hubert Nicole

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…

Λ-adic Families of Jacobi Forms

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

$Λ$ -adic Families of Jacobi Forms

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