14 citations · 20 across the 8 of their papers we have counts for
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Combinatorial description of the roots of the Bernstein-Sato polynomials for monomial ideals
Nero Budur, Mircea Mustata, Morihiko Saito
We give a combinatorial description of the roots of the Bernstein-Sato polynomial of a monomial ideal using the Newton polyhedron and some semigroups associated to the ideal.
Roots of Bernstein-Sato polynomials for monomial ideals: a positive characteristic approach
Nero Budur, Mircea Mustata, Morihiko Saito
We describe the roots of the Bernstein-Sato polynomial of a monomial ideal using reduction mod p and invariants of singularities in positive chracteristic. We give in this setting…
On the V-filtration of D-modules
Nero Budur
In this mostly expository note we give a down-to-earth introduction to the V-filtration of M. Kashiwara and B. Malgrange on D-modules. We survey some applications to generalized Be…
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…
Hilbert functions of irreducible arithmetically Gorenstein schemes
Nero Budur, Marta Casanellas, Elisa Gorla
In this paper we compute the Hilbert functions of irreducible (or smooth) and reduced arithmetically Gorenstein schemes that are twisted anti-canonical divisors on arithmetically C…
Multiplier ideals and filtered D-modules
Nero Budur
We give a Hodge-theoretic interpretation of the multiplier ideal of an effective divisor on a smooth complex variety. More precisely, we show that the associated graded coherent sh…