$CP$ violation in $D$ meson decays at Belle

$CP$ violation and branching fraction measurements in $D$ decays are interesting topics as any difference with respect to the Standard Model prediction would be an indication of new physics. With the large data sample collected by the Belle detector, which sits at the interaction point of KEKB asymmetric $e^{+} e^{-}$ collider in Japan, we present the results of searches for $CP$ violation in $D^{0}\rightarrow V\gamma~(V = \phi, \overline{K}^{*0}, \rho^{0})$ decay and the rare $D$ decay $D^{0}\rightarrow \gamma \gamma$.