7 citations · 16 across the 10 of their papers we have counts for
10 papers
Quasi--splitting versus log canonicity
Kenta Sato, Shunsuke Takagi, Shou Yoshikawa
In this paper, we investigate the relationship between quasi--splitting and log canonicity. We show that if a numerically -Gorenstein normal singularity is quasi-$F^…
General hyperplane sections of log canonical threefolds in positive characteristic
Kenta Sato
In this paper, we prove that if a -dimensional quasi-projective variety over an algebraically closed field of characteristic has only log canonical singularities, then…
Deformations of log terminal and semi log canonical singularities
Kenta Sato, Shunsuke Takagi
In this paper, we prove that klt singularities are invariant under deformations if the generic fiber is -Gorenstein. We also obtain a similar result for slc singulariti…
Arithmetic and geometric deformations of -pure and -regular singularities
Kenta Sato, Shunsuke Takagi
Given a normal -Gorenstein complex variety , we prove that if one spreads it out to a normal -Gorenstein scheme of mixed characteristic who…
On accumulation points of -pure thresholds on regular local rings
Kenta Sato
Blickle, Mustaţă and Smith proposed two conjectures on the limits of -pure thresholds. One conjecture asks whether or not the limit of a sequence of -pure thresholds of princ…
Weak Akizuki-Nakano vanishing theorem for globally -split 3-folds
Kenta Sato, Shunsuke Takagi
In this paper, we prove that a weak form of the Akizuki-Nakano vanishing theorem holds on globally -split 3-folds. Making use of this vanishing theorem, we study deformations of…
Ascending chain condition for -pure thresholds with fixed embedding dimension
Kenta Sato
In this paper, we prove that the set of all -pure thresholds of ideals with fixed embedding dimension satisfies the ascending chain condition. As a corollary, given an integer $…
Ascending chain condition for -pure thresholds on a fixed strongly -regular germ
Kenta Sato
In this paper, we prove that the set of all -pure thresholds on a fixed germ of a strongly -regular pair satisfies the ascending chain condition. As a corollary, we verify th…
General hyperplane sections of threefolds in positive characteristic
Kenta Sato, Shunsuke Takagi
In this paper, we study the singularities of a general hyperplane section of a three-dimensional quasi-projective variety over an algebraically closed field of characterist…
Stability of test ideals of divisors with small multiplicity
Kenta Sato
Let be a log pair in characteristic and be a (not necessarily closed) point of . We show that there exists a constant such that $τ(X, Δ)_P= τ(X, Δ+ D)_P…