Lefschetz classes on projective varieties

June Huh; Botong Wang

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arXiv · 1609.08808

Lefschetz classes on projective varieties

June Huh·Botong Wang

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Abstract

The Lefschetz algebra $L^*(X)$ of a smooth complex projective variety $X$ is the subalgebra of the cohomology algebra of $X$ generated by divisor classes. We construct smooth complex projective varieties whose Lefschetz algebras do not satisfy analogues of the hard Lefschetz theorem and Poincar\'e duality.

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June Huh, Botong Wang. 2016-09-28. Lefschetz classes on projective varieties. https://arxiv.org/abs/1609.08808

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