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
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 $\mathbb{C}^2$.