Poincaré duality and unimodularity

  • Yuri G. Zarhin

    Pennsylvania State University, University Park, USA
Poincaré duality and unimodularity cover
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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.