173 citations · 670 across the 70 of their papers we have counts for
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Hodge ideals and minimal exponents of ideals
Mircea Mustata, Mihnea Popa
We define and study Hodge ideals associated to a coherent ideal sheaf J on a smooth complex variety, via algebraic constructions based on the already existing concept of Hodge idea…
Bernstein-Sato polynomials for general ideals vs. principal ideals
Mircea Mustata
We show that given an ideal I generated by regular functions f_1,...,f_r on the smooth complex variety X, the Bernstein-Sato polynomial of I is equal to the reduced Bernstein-Sato…
An invariant detecting rational singularities via the log canonical threshold
Raf Cluckers, Mircea Mustata
We show that if f is a nonzero, noninvertible function on a smooth complex variety X and J_f is the Jacobian ideal of f, then lct(f, J_f^2)>1 if and only if the hypersurface define…
Hodge filtration, minimal exponent, and local vanishing
Mircea Mustata, Mihnea Popa
We bound the generation level of the Hodge filtration on the localization along a hypersurface in terms of its minimal exponent. As a consequence, we obtain a local vanishing theor…