English

Chow-Kunneth decomposition for varieties with low cohomological level

Algebraic Geometry 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.math/0604254,
  title  = {Chow-Kunneth decomposition for varieties with low cohomological level},
  author = {Morihiko Saito},
  journal= {arXiv preprint arXiv:math/0604254},
  year   = {2007}
}

Comments

12 pages

R2 v1 2026-07-22T17:34:22.748Z