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arXiv · 2406.12351

Hida family of theta lift from U(1) to definite U(2)

Yu-Sheng Lee
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Abstract

Let K/F be a CM extension satisfying the ordinary assumption for an odd prime p. In this article, we construct Hida families that interpolate theta lifts of algebraic Hecke characters to a definite unitary group U(2) defined from skew-Hermitian spaces over K, and show that the Hida family is primitive when the central L-value of the branch character of the family satisfies certain non-vanishing modulo p conditions.

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Yu-Sheng Lee. 2024-06-18. Hida family of theta lift from U(1) to definite U(2). https://arxiv.org/abs/2406.12351

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