Lefschetz classes on projective varieties
Algebraic Geometry
2016-09-29 v1
Abstract
The Lefschetz algebra of a smooth complex projective variety is the subalgebra of the cohomology algebra of 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.
Cite
@article{arxiv.1609.08808,
title = {Lefschetz classes on projective varieties},
author = {June Huh and Botong Wang},
journal= {arXiv preprint arXiv:1609.08808},
year = {2016}
}
Comments
9 pages