Resolution of Singularities in Arbitrary Characteristic

Yi Hu

Resolution of Singularities in Arbitrary Characteristic

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arxiv 2203.03842 v4 pith:TTE2PO3R submitted 2022-03-08 math.AG math.NT

Yi Hu This is my paper

classification math.AGmath.NT

keywords projectiveresolutionschemewidetildeadmitsaffinearbitrarybirational

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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 $X$.

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Universal Characteristic-free Resolution of Singularities, I
math.AG 2025-07 conditional novelty 7.0 of 10

An explicit universal blowup process on a birational Grassmannian model is claimed to simultaneously resolve every integral singular Γ-scheme over Q and over finite fields.

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