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arXiv · 2410.19992

A $\Lambda$-adic Kudla lift

Francesco Maria Iudica
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Abstract

The Kudla lift studied in this article is a classical version for Picard modular forms of the automorphic theta lift between $\text{GU}(2)$ and $\text{GU}(3)$. We construct an explicit $p$-adic analytic family of Picard modular forms varying with respect to the weight and level, which interpolates a so-called $p$-modification of the lift at arithmetic weights, by exploiting a formula of Finis for the Fourier-Jacobi coefficients of a lifted form.

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Francesco Maria Iudica. 2024-10-25. A $\Lambda$-adic Kudla lift. https://arxiv.org/abs/2410.19992

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