arXiv subjects

Yu-Sheng Lee

Publications and source records attributed to Yu-Sheng Lee.

2 recordsLinked to original sources

arXiv2025

Anticyclotomic Euler Systems for CM fields

Let $K/F$ be a CM extension satisfying the ordinary assumption for an odd prime $p$ and let $\psi$ be a finite order anticyclotomic Hecke character of $K$. When $K$ has a place above $p$ of degree one, we apply Urban's method and the results from our previous work to construct an anticyclotomic Euler system for $\psi$ under minor assumptions and prove one side o the divisibility of the anticyclotomic Iwasawa main conjecture for $\psi$ when $p$ is inverted.

math.NT↗

arXiv2024

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

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.

math.NT↗