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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.