25 citations · 330 across the 96 of their papers we have counts for
6 papers · 2 filters
Lowest Weights in Cohomology of Variations of Hodge Structure (II)
Chris Peters, Morihiko Saito
Let be an irreducible complex analytic space with $j:U\into X$ an immersion of a smooth Zariski open subset, and let $\bV$ be a variation of Hodge structure of weight over…
Vanishing cycle sheaves of one-parameter smoothings and quasi-semistable degenerations
Alexandru Dimca, Morihiko Saito
We study the vanishing cycles of a one-parameter smoothing of a complex analytic space and show that the weight filtration on its perverse cohomology sheaf of the highest degree is…
A generalization of the Neron models of Green, Griffiths and Kerr
Patrick Brosnan, Gregory Pearlstein, Morihiko Saito
We generalize a construction of the Neron model for a family of intermediate Jacobians due to Green, Griffiths and Kerr by using the theory of mixed Hodge modules. It is a topologi…
Relative Chow-Kunneth decompositions for conic bundles and Prym varieties
Jan Nagel, Morihiko Saito
We construct a relative Chow-Kunneth decomposition for a conic bundle over a surface such that the middle projector gives the Prym variety of the associated double covering of the…
Generalized Thomas hyperplane sections and relations between vanishing cycles
Morihiko Saito
As is remarked by B. Totaro, R. Thomas essentially proved that the Hodge conjecture is inductively equivalent to the existence of a hyperplane section, called a generalized Thomas…
Hausdorff property of the Neron models of Green, Griffiths and Kerr
Morihiko Saito
We prove the Hausdorff property of the Neron modle of the family of intermediate Jacobians which is recently defined by Green, Griffiths and Kerr assuming that the divisor at infin…