21 citations · 30 across the 6 of their papers we have counts for
7 papers
Thom-Sebastiani Theorem for Hodge Modules
Morihiko Saito
We give a proof of the Thom-Sebastiani theorem for mixed Hodge modules using a compatibility with Verdier specialization.
Strong monodromy conjecture for defining polynomials of projective hypersurfaces having only weighted homogeneous isolated singularities
Morihiko Saito
Let be a hypersurface such that the associated reduced hypersurface has only weighted homogeneous isolated singularities. In the case is a…
Constant coefficient and intersection complex -classes of projective varieties
Javier Fernández de Bobadilla, Irma Pallarés, Morihiko Saito
For a projective variety , we have the intersection complex -classes defined by Goresky-MacPerson using cohomotopy and also the constant coefficient -class $L^c_*…
Twisted logarithmic complexes of positively weighted homogeneous divisors
Daniel Bath, Morihiko Saito
For a rank 1 local system on the complement of a reduced divisor on a complex manifold , its cohomology is calculated by the twisted meromorphic de Rham complex. Assuming the di…
Hodge modules and cobordism classes
Javier Fernández de Bobadilla, Irma Pallarés, Morihiko Saito
We show that the cobordism class of a polarization of Hodge module defines a natural transformation from the Grothendieck group of Hodge modules to the cobordism group of self-dual…
Koszul complexes and spectra of projective hypersurfaces with isolated singularities
Alexandru Dimca, Morihiko Saito
For a projective hypersurface with isolated singularities, we generalize some well-known assertions in the nonsingular case due to Griffiths, Scherk, Steenbrink, Varchenko, and…
Bloch's Conjecture, Deligne Cohomology and Higher Chow Groups
Morihiko Saito
We express the kernel of Griffiths' Abel-Jacobi map by using the inductive limit of Deligne cohomology in the generalized sense (i.e. the absolute Hodge cohomology of A. Beilinson)…