Morihiko Saito

activity

19992026

collaborators

4 papers

math.AG2026

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.

math.AG2026

Strong monodromy conjecture for defining polynomials of projective hypersurfaces having only weighted homogeneous isolated singularities

Morihiko Saito

Let $Z \subset P^{n - 1}$ be a hypersurface such that the associated reduced hypersurface $Z_{red}$ has only weighted homogeneous isolated singularities. In the case $Z$ is a…

math.AG2024

Constant coefficient and intersection complex $L$ -classes of projective varieties

Javier Fernández de Bobadilla, Irma Pallarés, Morihiko Saito

For a projective variety $X$ , we have the intersection complex $L$ -classes $L_{*} (X)$ defined by Goresky-MacPerson using cohomotopy and also the constant coefficient $L$ -class $L^c_*…

math.AG1999

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)…

Thom-Sebastiani Theorem for Hodge Modules

Strong monodromy conjecture for defining polynomials of projective hypersurfaces having only weighted homogeneous isolated singularities

Constant coefficient and intersection complex L-classes of projective varieties

Bloch's Conjecture, Deligne Cohomology and Higher Chow Groups

Constant coefficient and intersection complex $L$ -classes of projective varieties