English

On Strong Lefschetz Property of 0-dimensional complete intersections and Veronese varieties

Algebraic Geometry 2025-05-05 v2

Abstract

We show that the Strong Lefschetz Property in degree 1 for a homogeneous 0-dimensional complete intersection holds if the corresponding associated form, the Macaulay inverse systems, has a non-zero discriminant.

Keywords

Cite

@article{arxiv.2504.14999,
  title  = {On Strong Lefschetz Property of 0-dimensional complete intersections and Veronese varieties},
  author = {Alexandru Dimca and Giovanna Ilardi and Abbas Nasrollah Nejad},
  journal= {arXiv preprint arXiv:2504.14999},
  year   = {2025}
}

Comments

v2: minor changes