Mathematics > Number Theory
[Submitted on 18 Jun 2024
(v1)
, last revised 7 Aug 2025 (this version, v2)]
Title: Hida family of theta lift from U(1) to definite U(2)
Title: Hida 族的θ提升从U(1)到确定的U(2)
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.
Submission history
From: Yu-Sheng Lee [view email][v1] Tue, 18 Jun 2024 07:35:14 UTC (58 KB)
[v2] Thu, 7 Aug 2025 21:33:25 UTC (62 KB)
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