Weak Lefschetz Theorem for Simplicial PL-spheres
Combinatorics
2019-07-02 v3 Commutative Algebra
Algebraic Geometry
Abstract
We prove the Weak Lefschetz theorem for simplicial PL-spheres. This result is weaker than the Hard Lefschetz theorem for more general spheres proved by Adiprasito (arXiv:1812.10454), but the proof here involves simple algebra and avoids the more complicated combinatorics.
Cite
@article{arxiv.1905.12039,
title = {Weak Lefschetz Theorem for Simplicial PL-spheres},
author = {Kalle Karu},
journal= {arXiv preprint arXiv:1905.12039},
year = {2019}
}
Comments
The proof of the main result is not correct