The weak Lefschetz property of whiskered graphs

Susan Cooper,Sara Faridi,Thiago Holleben,Lisa Nicklasson,Adam Van Tuyl

arXiv (Cornell University)（2023）

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摘要

We consider Artinian level algebras arising from the whiskering of a graph. Employing a result by Dao-Nair we show that multiplication by a general linear form has maximal rank in degrees 1 and $n-1$ when the characteristic is not two, where $n$ is the number of vertices in the graph. Moreover, the multiplication is injective in degrees $更多

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weak lefschetz property,whiskered graphs

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