On Strong Lefschetz Property of 0-dimensional complete intersections
Algebraic Geometry
2026-01-21 v3 Commutative Algebra
Abstract
We prove that a homogeneous 0-dimensional complete intersection satisfies the Strong Lefschetz Property (SLP) in degree 1 if and only if its associated form has nonzero Hessian. The result is essentially known in the literature, but our proof is different compared with the previous ones.
Keywords
Cite
@article{arxiv.2601.07874,
title = {On Strong Lefschetz Property of 0-dimensional complete intersections},
author = {Zhenjian Wang},
journal= {arXiv preprint arXiv:2601.07874},
year = {2026}
}
Comments
add the statement that the result is known in the literature, emphazing the novelty of the proof method