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

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.

Publication Details

Journal
ArXiv.org
Published
2025-04-21
Primary Topic
Commutative Algebra and Its Applications
Type
article
Field-Weighted Citation Impact
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article

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

ArXiv.org
Commutative Algebra and Its Applications
article

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

article en

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.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 36%
Commutative Algebra and Its Applications
Open Access PDFOpenAlex
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