论文标题
在任意特征中解决奇异性
Resolution of Singularities in Arbitrary Characteristic
论文作者
论文摘要
让$ x $成为完美领域的有限演示的积分仿射或投影方案。我们证明,$ x $承认了一项决议,也就是说,存在一个平滑的方案$ \ widetilde x $,以及从$ \ didetilde x $到$ x $的投射的birational型形态。
Let $X$ be an integral affine or projective scheme of finite presentation over a perfect field. We prove that $X$ admits a resolution, that is, there exists a smooth scheme $\widetilde X$ and a projective birational morphism from $\widetilde X$ onto $X$.