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arXiv · 2203.02926

Generic symmetry defect set of an algebraic curve

L. R. G. Dias·M. Farnik·Z. Jelonek
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Abstract

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

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L. R. G. Dias, M. Farnik, Z. Jelonek. 2022-03-06. Generic symmetry defect set of an algebraic curve. https://arxiv.org/abs/2203.02926

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