7 citations · 9 across the 7 of their papers we have counts for
8 papers
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.
Quasi--splittings and quasi--regularity
Hiromu Tanaka, Jakub Witaszek, Fuetaro Yobuko
We develop the theory of quasi--splittings, quasi--regularity, and quasi--regularity.
Quasi-F-split and Hodge-Witt
Fuetaro Yobuko
We study an analogy between quasi-F-split and Hodge-Witt. In particular, we show that the fiber product of an F-split scheme and a quasi-F-split scheme is quasi-F-split and, in con…
Quasi-F-splittings in birational geometry II
Tatsuro Kawakami, Teppei Takamatsu, Hiromu Tanaka +3
Over an algebraically closed field of characteristic , we prove that three-dimensional -factorial affine klt varieties are quasi--split. Furthermore, we show th…
Quasi-F-splittings in birational geometry
Tatsuro Kawakami, Teppei Takamatsu, Hiromu Tanaka +3
We develop the theory of quasi--splittings in the context of birational geometry. Amongst other things, we obtain results on liftability of sections and establish a criterion fo…
Mass formula and Oort's conjecture for supersingular abelian threefolds
Valentijn Karemaker, Fuetaro Yobuko, Chia-Fu Yu
Using the theory of polarised flag type quotients, we determine mass formulae for all principally polarised supersingular abelian threefolds defined over an algebraically closed fi…
Degenerations of log Hodge de Rham spectral sequences, log Kodaira vanishing theorem in characteristic and log weak Lefschetz conjecture for log crystalline cohomologies
Yukiyoshi Nakkajima, Fuetaro Yobuko
In this article we prove that the log Hodge de Rham spectral sequences of certain proper log smooth schemes of Cartier type in characteristic degenerate at . We also pro…
Quasi-Frobenius-splitting and lifting of Calabi-Yau varieties in characteristic
Fuetaro Yobuko
Extending the notion of Frobenius-splitting, we prove that every finite height Calabi-Yau variety defined over an algebraically closed field of positive characteristic can be lifte…