103 citations · 116 across the 17 of their papers we have counts for
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math.AC2003
On F-pure thresholds
Shunsuke Takagi, Kei-ichi Watanabe
Using the Frobenius map, we introduce a new invariant for a pair $(R,\a)$ of a ring and an ideal $\a \subset R$, which we call the F-pure threshold $\mathrm{c}(\a)$ of $\a$, an…
math.AC2003★ 1 cited
Hilbert-Kunz multiplicity of three-dimensional local rings
Kei-ichi Watanabe, Ken-ichi Yoshida
In this paper, we investigate a lower bound (say ) on Hilbert-Kunz multiplicities for non-regular unmixed local rings of Krull dimension with characteristic .…
math.AC2003★ 3 cited
Minimal Hilbert-Kunz multiplicity
Kei-ichi Watanabe, Ken-ichi Yoshida
In this paper, we ask the following question: what is the minimal value of the difference for ideals with ? In order to answ…