Primitive cohomology and the tube mapping
Abstract
Description
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.
24 pages; result now holds for arbitrary dimension; uses Paul Taylor's package for commutative diagrams
24 pages; result now holds for arbitrary dimension; uses Paul Taylor's package for commutative diagrams