Let $f$ be a nearly holomorphic modular form on a Hilbert modular variety $Sh$. Suppose that $f$ vanishes on a Zariski dense subset of CM points on $Sh$. How to show that $f$ is identically zero?
Let $f$ be a nearly holomorphic modular form on a Hilbert modular variety $Sh$. Suppose that $f$ vanishes on a Zariski dense subset of CM points on $Sh$. How to show that $f$ is identically zero?