4 papers
math.AG2026
Fundamental Lemmas in Universal Resolution
Yi Hu
We abstract and prove some fundamental lemmas in universal blowups
math.AG2026
Introduction to Universal Equations and Characteristic-free Resolution
Yi Hu
Recently, we announced a proof of a characteristic-free resolution of singularities. This is a survey article on the proof. We motivate the approach, describe the new ideas, and in…
math.AG2022
Resolution of Singularities in Arbitrary Characteristic
Yi Hu
Let be an integral affine or projective scheme of finite presentation over a perfect field. We prove that admits a resolution, that is, there exists a smooth scheme $\widet…
math.AG2021
Grassmannians and Singularities
Yi Hu
Let be an integral scheme of finite presentation over a perfect field. Let be a singular closed point of . We prove that there exists an open subset of containin…