Mathematics – Algebraic Geometry
Scientific paper
2006-04-11
Mathematics
Algebraic Geometry
12 pages
Scientific paper
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.
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