Resolution of Singularities in Arbitrary Characteristic

Yi Hu

Resolution of Singularities in Arbitrary Characteristic

Algebraic Geometry 2022-08-02 v4 Number Theory

Authors: Yi Hu

Abstract

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 $X$ .

Keywords

projective varieties algebraic stacks affine algebraic geometry

Cite

@article{arxiv.2203.03842,
  title  = {Resolution of Singularities in Arbitrary Characteristic},
  author = {Yi Hu},
  journal= {arXiv preprint arXiv:2203.03842},
  year   = {2022}
}

Comments

141 pages. Added ell blowups. Substantially improved the structure of the method. Proofs are significantly simplified and clarified. The paper is shortened. This article supersedes the previous arXiv:2109.02968

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