dorsal/arxiv
View SchemaOn Strong Lefschetz Property of 0-dimensional complete intersections
| Authors | Zhenjian Wang |
|---|---|
| Categories | |
| ArXiv ID | 2601.07874vv1 |
| URL | https://arxiv.org/abs/2601.07874 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
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.
{
"annotation_id": "e0ed2e62-0351-4c84-884d-f6d5ff2f787e",
"date_created": "2026-02-17T05:53:12.450000Z",
"date_modified": "2026-02-17T05:53:12.450000Z",
"file_hash": "6edab78541b98e0799c1d865a0b0307aff707c81ed5c11ca2ffb291584b525da",
"private": false,
"record": {
"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.",
"arxiv_id": "2601.07874",
"authors": [
"Zhenjian Wang"
],
"categories": [
"math.AG",
"math.AC"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "On Strong Lefschetz Property of 0-dimensional complete intersections",
"url": "https://arxiv.org/abs/2601.07874",
"version": "v1"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "525d76a5-ea7a-4686-b810-5c439631c396",
"id": "arXiv Dataset",
"type": "Model",
"variant": "snapshot-2026-01-17",
"version": "0.1.0"
},
"user_id": 1000002
}