25 citations · 330 across the 96 of their papers we have counts for
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Brieskorn modules and Gauss-Manin systems for non isolated hypersurface singularities
Daniel Barlet, Morihiko Saito
We study the Brieskorn modules associated to a germ of holomorphic function with non-isolated singularities, and show that the Brieskorn module has naturally a structure of a modul…
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…
Monodromy of a family of hypersurfaces containing a given subvariety
Ania Otwinowska, Morihiko Saito
For a subvariety of a smooth projective variety, consider the family of smooth hypersurfaces of sufficiently large degree containing it, and take the quotient of the middle cohomol…
Multiplier ideals, b-function, and spectrum of a hypersurface singularity
Morihiko Saito
We prove that certain roots of the Bernstein-Sato polynomial (i.e. b-function) are jumping coefficients up to a sign, showing a partial converse of a theorem of L. Ein, R. Lazarsfe…