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

2025/04/21 by Dimca, Alexandru, Ilardi, Giovanna, Nejad, Abbas Nasrollah
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2504.14999

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.

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