Jakub Witaszek

activity

20242026

collaborators

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3 papers · 1 filter

math.AG2026

Abundance for threefolds in positive characteristic

Fabio Bernasconi, Jakub Witaszek, Zheng Xu

We prove the abundance conjecture for threefolds in characteristic $> 42$ .

math.AG2026

$F$ -nilpotence and Hodge filtrations beyond isolated singularities

Bradley Dirks, Jakub Witaszek

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

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…

Abundance for threefolds in positive characteristic

F-nilpotence and Hodge filtrations beyond isolated singularities

Higher F-rational singularities

$F$ -nilpotence and Hodge filtrations beyond isolated singularities