Chow-Kunneth decomposition for varieties with low cohomological level

Details Chow-Kunneth decomposition for varieties with low cohomological level Chow-Kunneth decomposition for varieties with low cohomological level

2006-04-11

arxiv.org/abs/math/0604254v2

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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