Lefschetz classes on projective varieties
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- by June Huh and Botong Wang PDF
- Proc. Amer. Math. Soc. 145 (2017), 4629-4637 Request permission
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 Poincaré duality.References
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Additional Information
- June Huh
- Affiliation: Institute for Advanced Study, Fuld Hall, 1 Einstein Drive, Princeton, New Jersey 08540
- MR Author ID: 974745
- Email: huh@princeton.edu
- Botong Wang
- Affiliation: University of Wisconsin-Madison, Van Vleck Hall, 480 Lincoln Drive, Madison, Wisconsin 53706
- MR Author ID: 923993
- Email: bwang274@wisc.edu
- Received by editor(s): November 30, 2016
- Published electronically: July 28, 2017
- Communicated by: Lev Borisov
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 4629-4637
- MSC (2010): Primary 14C25; Secondary 14C20, 14M15
- DOI: https://doi.org/10.1090/proc/13757
- MathSciNet review: 3691982