论文标题

代数曲线的通用对称缺陷集

Generic symmetry defect set of an algebraic curve

论文作者

Dias, L. R. G., Farnik, M., Jelonek, Z.

论文摘要

令$ x \ subset \ mathbb {c}^{2n} $为$ n $ - 二维代数品种。我们定义了$ x $的通用对称缺陷集(Wigner Carustic)的代数版本。此外,我们计算$ x_d $的奇异性是$ \ mathbb {c}^2 $的通用度$ d $的通用曲线。

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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