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math.AG2004★ 103 cited
F-thresholds and Bernstein-Sato polynomials
Mircea Mustata, Shunsuke Takagi, Kei-ichi Watanabe
We introduce and study invariants of singularities in positive characteristic called F-thresholds. They give an analogue of the jumping coefficients of multiplier ideals in charact…
math.AG2004
Formulas for multiplier ideals on singular varieties
Shunsuke Takagi
We prove a generalization of Demailly-Ein-Lazarsfeld's subadditivity formula and Mustata's summation formula for multiplier ideals to the case of singular varieties, using characte…
math.AG2001
An interpretation of multiplier ideals via tight closure
Shunsuke Takagi
Hara and Smith independently proved that in a normal $\mQ$-Gorenstein ring of characteristic , the test ideal coincides with the multiplier ideal associated to the trivial…