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5 papers · 1 filter
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…
Random polynomials with prescribed Newton polytope
Bernard Shiffman, Steve Zelditch
We show that the Newton polytope of a polynomial has a strong impact on the distribution of its mass and zeros. The basic theme is that Newton polytopes determine allowed and forbi…