Jakub Witaszek

activity

20242026

collaborators

4 papers

math.AG2026

Higher F-rational singularities

Tatsuro Kawakami, Jakub Witaszek

We introduce higher $F$ -rationality generalising $F$ -rationality. We prove that a normal variety over a field of characteristic zero is $m$ -rational if and only if it is $m$ - $F$ -ra…

math.AG2025

Inversion of adjunction for higher rational singularities

Tatsuro Kawakami, Jakub Witaszek

We prove inversion of adjunction for higher rational singularities.

math.AG2025

Frobenius liftable hypersurfaces

Tatsuro Kawakami, Supravat Sarkar, Jakub Witaszek

Let $D$ be a reduced divisor in $P_{k}^{n}$ for an algebraically closed field $k$ of positive characteristic $p > 0$ . We prove that if $(P_{k}^{n}, D)$ is Frobenius liftabl…

math.AG2024

Higher F-injective singularities

Tatsuro Kawakami, Jakub Witaszek

We introduce the concept of higher $F$ -injectivity, a generalisation of $F$ -injectivity. We prove that an isolated singularity over a field of characteristic zero is $k$ -Du Bois if…