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arXiv · 0711.3927

Primitive cohomology and the tube mapping

Christian Schnell
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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.

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Christian Schnell. 2009-02-21. Primitive cohomology and the tube mapping. https://arxiv.org/abs/0711.3927

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