In this paper, we study the singularities of a general hyperplane section $H$ of a three-dimensional quasi-projective variety $X$ over an algebraically closed field of characteristic $p>0$. We prove that if $X$ has only canonical singularities, then $H$ has only rational double points. We also prove, under the assumption that $p>5$, that if $X$ has only klt singularities, then so does $H$.

中文翻译：

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正特性的三倍体的一般超平面截面

在本文中，我们研究了一般超平面截面的奇异性$H$三维拟射影变体$X$在特征的代数闭域上$p>0$. 我们证明如果$X$只有规范奇点，那么$H$只有有理双分。我们还证明，在假设$p>5$， 如果$X$只有 klt 奇点，那么也是$H$.