25 citations · 330 across the 96 of their papers we have counts for
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Limits of Hodge structures with quasi-unipotent monodromies
Morihiko Saito
We survey a theory of limits of polarizable variations of real Hodge structure in the quasi-unipotent monodromy case using the V-filtration of Kashiwara and Malgrange indexed by ra…
Verdier specialization and restrictions of Hodge modules
Qianyu Chen, Bradley Dirks, Morihiko Saito
We give an explicit formula to express the cohomological pullback functors of Hodge modules under closed immersions of smooth varieties using Verdier specializations and -filtra…
Examples of Hirzebruch-Milnor classes of projective hypersurfaces detecting higher du Bois or rational singularities
Morihiko Saito
We show that it is possible to utilize the Hirzebruch-Milnor classes of projective hypersurfaces in the classical sense to detect higher du Bois or rational singularities only in s…
Hirzebruch-Milnor classes of hypersurfaces with nontrivial normal bundles and applications to higher du Bois and rational singularities
Laurenţiu Maxim, Morihiko Saito, Ruijie Yang
We extend the Hirzebruch-Milnor class of a hypersurface to the case where the normal bundle is nontrivial and cannot be defined by a global function, using the associated l…
Bernstein-Sato polynomials of semi-weighted-homogeneous polynomials of nearly Brieskorn-Pham type
Morihiko Saito
Let be a semi-weighted-homogeneous polynomial having an isolated singularity at 0. Let be the spectral numbers of at 0. By Malgrange and Varchenko there are non-n…
Length of in the isolated singularity case
Morihiko Saito
Let be a convergent power series of variables having an isolated singularity at 0. For a rational number , setting , we show that the length of…