103 citations · 158 across the 20 of their papers we have counts for
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Bernstein-Sato polynomials in positive characteristic
Mircea Mustata
In characteristic zero, the Bernstein-Sato polynomial of a hypersurface can be described as the minimal polynomial of the action of an Euler operator on a suitable D-module. We con…
Generically finite morphisms and formal neighborhoods of arcs
Lawrence Ein, Mircea Mustata
We show that given a dominant morphism between two smooth varieties of the same dimension, the induced morphism between the formal neighborhoods of two arcs on these varieties is a…
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…
Test ideals vs. multiplier ideals
Mircea Mustata, Ken-ichi Yoshida
The generalized test ideals introduced in [HY] are related to multiplier ideals via reduction to characteristic p. In addition, they satisfy many of the subtle properties of the mu…