Poincaré duality and unimodularity

Details Poincaré duality and unimodularity Poincaré duality and unimodularity

2011-12-06

arxiv.org/abs/1112.1429v2

Mathematics

Algebraic Geometry

6 pages

Scientific paper

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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