Primitive cohomology and the tube mapping
Algebraic Geometry
2009-02-21 v2
Abstract
Let X be a smooth complex projective variety of dimension d. We show that its primitive cohomology in degree d is generated by certain "tube classes," constructed from the monodromy of the family of smooth hyperplane sections on X. The proof makes use of a result about the group cohomology of certain representations that may be of independent interest.
Keywords
Cite
@article{arxiv.0711.3927,
title = {Primitive cohomology and the tube mapping},
author = {Christian Schnell},
journal= {arXiv preprint arXiv:0711.3927},
year = {2009}
}
Comments
24 pages; result now holds for arbitrary dimension; uses Paul Taylor's package for commutative diagrams