# Chow-Kunneth decomposition for varieties with low cohomological level

Research paper by Morihiko Saito

Indexed on: 02 Jun '06Published on: 02 Jun '06Published in: Mathematics - Algebraic Geometry

#### Abstract

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 relative case in a weak sense if the morphism has only isolated singularities, the base space is 1-dimensional, and the generic fiber satisfies the above condition.