activity
20242026
collaborators

8 papers

math.AG2026

Abundance for threefolds in positive characteristic

Fabio Bernasconi, Jakub Witaszek, Zheng Xu

We prove the abundance conjecture for threefolds in characteristic .

math.AG2026

-nilpotence and Hodge filtrations beyond isolated singularities

Bradley Dirks, Jakub Witaszek

We give Hodge-theoretic characterizations of characteristic-zero varieties of open -nilpotent and open weakly -nilpotent type, extending a result of Srinivas and Takagi beyon…

math.AG2026

Higher F-rational singularities

Tatsuro Kawakami, Jakub Witaszek

We introduce higher -rationality generalising -rationality. We prove that a normal variety over a field of characteristic zero is -rational if and only if it is --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 be a reduced divisor in for an algebraically closed field of positive characteristic . We prove that if is Frobenius liftabl…

math.AG2024

Higher F-injective singularities

Tatsuro Kawakami, Jakub Witaszek

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

math.AG2024

Quasi-F-splittings in birational geometry III

Tatsuro Kawakami, Teppei Takamatsu, Hiromu Tanaka +3

We prove that -Gorenstein quasi--regular singularities are klt. To this end, we shall introduce quasi-test ideals.

math.AG2024

Quasi--splittings and quasi--regularity

Hiromu Tanaka, Jakub Witaszek, Fuetaro Yobuko

We develop the theory of quasi--splittings, quasi--regularity, and quasi--regularity.