Lefschetz classes on projective varieties

  title={Lefschetz classes on projective varieties},
  author={June Huh and Botong Wang},
  journal={arXiv: Algebraic Geometry},
  • June Huh, Botong Wang
  • Published 2016
  • Mathematics
  • arXiv: Algebraic Geometry
  • 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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