103 citations · 108 across the 8 of their papers we have counts for
Showing 2007 · math.ACShow all
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math.AC2007
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…
math.AC2007★ 4 cited
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…
math.AC2007★ 1 cited
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…