103 citations · 117 across the 12 of their papers we have counts for
5 papers · 1 filter
Adjoint ideals along closed subvarieties of higher codimension
Shunsuke Takagi
In this paper, we introduce a notion of adjoint ideal sheaves along closed subvarieties of higher codimension and study its local properties using characteristic methods. When…
F-thresholds, tight closure, integral closure, and multiplicity bounds
Craig Huneke, Mircea Mustata, Shunsuke Takagi +1
The F-threshold $c^J(\a)$ of an ideal $\a$ with respect to the ideal is a positive characteristic invariant obtained by comparing the powers of $\a$ with the Frobenius powers o…
Rational singularities associated to pairs
Karl Schwede, Shunsuke Takagi
In this paper we introduce a notion of rational singularities associated to pairs $(X, \ba^t)$ where is a variety, $\ba$ is an ideal sheaf and is a nonnegative real number.…
D-modules over rings with finite F-representation type
Shunsuke Takagi, Ryo Takahashi
Smith and Van den Bergh introduced the notion of finite F-representation type as a characteristic analogue of the notion of finite representation type. In this paper, we prove…
Generalized test ideals and symbolic powers
Shunsuke Takagi, Ken-ichi Yoshida
Hochster and Huneke proved in \cite{HH5} fine behaviors of symbolic powers of ideals in regular rings, using the theory of tight closure. In this paper, we use generalized test ide…