25 citations · 330 across the 96 of their papers we have counts for
6 papers · 1 filter
On the formalisme of mixed sheaves
Morihiko Saito
We give a formalism of mixed sheaves on varieties over a subfield of the complex number field.
Introduction to a theory of b-functions
Morihiko Saito
We give an introduction to a theory of b-functions, i.e. Bernstein-Sato polynomials. After reviewing some facts from D-modules, we introduce b-functions including the one for arbit…
Weight filtration on the cohomology of algebraic varieties
Masaki Hanamura, Morihiko Saito
We show that the etale cohomology (with compact supports) of an algebraic variety over an algebraically closed field has the canonical weight filtration , and prove that the…
Chow-Kunneth decomposition for varieties with low cohomological level
Morihiko Saito
We show that a smooth projective variety admits a Chow-Kunneth decomposition if the cohomology has level at most one except for the middle degree. This can be extended to the relat…
Tate conjecture and mixed perverse sheaves
Morihiko Saito
Using the theory of mixed perverse sheaves, we extend arguments on the Hodge conjecture initiated by Lefschetz and Griffiths to the case of the Tate conjecture, and show that the T…
Bernstein-Sato polynomials of hyperplane arrangements
Morihiko Saito
We show that the Bernstein-Sato polynomial (that is, the b-function) of a hyperplane arrangement with a reduced equation is calculable by combining a generalization of Malgrange's…