14 citations · 31 across the 11 of their papers we have counts for
22 papers · 1 filter
Direct image of logarithmic complexes and infinitesimal invariants of cycles
Morihiko Saito
We show that the direct image of the filtered logarithmic de Rham complex is a direct sum of filtered logarithmic complexes with coefficients in variations of Hodge structures, usi…
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 Hodge Filtration of Hodge Modules
Morihiko Saito
We give explicit formulas for the Hodge filtration on mixed Hodge modules associated with certain hypersurfaces.
A generalization of Griffiths' theorem on rational integrals
Alexandru Dimca, Morihiko Saito
We generalize Griffiths' theorem on the Hodge filtration of the primitive cohomology of a smooth projective hypersurface, using the local Bernstein-Sato polynomials, the V-filtrati…
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…