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arXiv · 1112.1429

Poincar\'e duality and unimodularity

Yuri G. Zarhin
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Abstract

It is well known that the cup-product pairing on the complementary integral cohomology groups (modulo torsion) of a compact oriented manifold is unimodular. We prove a similar result for the $\ell$-adic cohomology groups of smooth algebraic varieties.

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Yuri G. Zarhin. 2011-12-06. Poincar\'e duality and unimodularity. https://arxiv.org/abs/1112.1429

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