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Let $X \subset \mathbb{C}^{2n}$ be an $n$-dimensional algebraic variety. Wedefine the algebraic version of the generic symmetry defect set (Wignercaustic) of $X$. Moreover, we compute its singularities for $X_d$ being ageneric curve of degree $d$ in $\mathbb{C}^2$.

Generic symmetry defect set of an algebraic curve