Poincaré duality and unimodularity
Yuri G. Zarhin
Pennsylvania State University, University Park, USA
![Poincaré duality and unimodularity cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fbooks%2Fcover-115.png&w=3840&q=90)
Download Chapter PDF
A subscription is required to access this book chapter.
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 -adic cohomology groups of smooth algebraic varieties.