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 Poincaré duality.
|Original language||English (US)|
|Number of pages||9|
|Journal||Proceedings of the American Mathematical Society|
|State||Published - 2017|
All Science Journal Classification (ASJC) codes
- Applied Mathematics