Jakub Witaszek

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.AG2026★ 1 cited

Perfectoid pure singularities

Bhargav Bhatt, Linquan Ma, Zsolt Patakfalvi +4

Fix a prime number $p$ . Inspired by the notion of $F$ -pure or $F$ -split singularities, we study the condition that a Noetherian ring with $p$ in its Jacobson radical is pure inside…

math.AG2026

Higher singularities for hypersurfaces

Mircea Mustata, Jakub Witaszek

With an assumption on the codimension of the singular locus of a complex hypersurface $D$ in smooth variety $X$ , we show that if $I^c ◯_{D}^{m} ≅ I^c ◯_{D}^{m}$ , then $\underlineÎ©…

math.AG2025

Test ideals in mixed characteristic: a unified theory up to perturbation

Bhargav Bhatt, Linquan Ma, Zsolt Patakfalvi +5

Let $X$ be an integral scheme of finite type over a complete DVR of mixed characteristic. We provide a definition of a test ideal which agrees with the multiplier ideal after inver…