Schwarz-Type Null Curves in $\mathbb{C}^4$: Symmetry and Period Reduction

We study a genus-three hyperelliptic holomorphic null-curve family in $\mathbb{C}^4$, modelled on the algebraic data of the classical Schwarz P/D family, whose real parts define minimal immersions into $\mathbb{R}^4$. For the order-four automorphism $ω\mapsto iω$ of the underlying Schwarz curve, we