Jakub Witaszek

1 citations · 2 across the 3 of their papers we have counts for

collaborators

4 papers

math.AG2026

An irregular smooth Fano fourfold in positive characteristic

Joe Waldron, Jakub Witaszek

We construct an explicit smooth projective Fano fourfold $X$ over an algebraically closed field $k$ of characteristic two with $H^{1} (X, O_{X}) ≃ k$ . Moreover, $X$ does no…

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 $Ω_{D}^{m} ≅ Ω_{D}^{m}$ , then $\underlineΩ^i_…

math.AG2024★ 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.AG2024★ 1 cited

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…