25 citations · 330 across the 96 of their papers we have counts for
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math.AG2017★ 2 cited
Deformations of abstract Brieskorn lattices
Morihiko Saito
We study certain deformations of abstract Brieskorn lattices in fixed abstract Gauss-Manin systems, and show that the ambiguity of expressions of deformations coming from automorph…
math.AG2017★ 11 cited
Roots of Bernstein-Sato polynomials of certain homogeneous polynomials with two-dimensional singular loci
Morihiko Saito
For a homogeneous polynomial of variables, we present a new method to compute the roots of Bernstein-Sato polynomial supported at the origin, assuming that general hyperplane s…
math.AG2017★ 20 cited
Hodge ideals and microlocal V-filtration
Morihiko Saito
We show that the Hodge ideals in the sense of Mustata and Popa are quite closely related to the induced microlocal V-filtration on the structure sheaf, defined by using the microlo…