Weak Lefschetz Theorem for Simplicial PL-spheres

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.

The proof of the main result is not correct

References in corpus (1)

• Thirty-five years and counting

Cited by in corpus (1)

• A note on Lefschetz spheres and their relatives