4 citations · 6 across the 3 of their papers we have counts for
4 papers
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…
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 $…
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…