103 citations · 157 across the 19 of their papers we have counts for
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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★ 1 cited
Bernstein-Sato polynomials of arbitrary varieties
Nero Budur, Mircea Mustata, Morihiko Saito
We introduce the notion of Bernstein-Sato polynomial of an arbitrary variety (which is not necessarily reduced nor irreducible), using the theory of V-filtrations of M. Kashiwara a…
math.AG2004
Multiplier ideals of hyperplane arrangements
Mircea Mustata
We compute the multiplier ideals of hyperplane arrangements via the interpretation of these ideals in terms of spaces of arcs, due to Ein, Lazarsfeld and the author.