Author:
Altafi Nasrin,Lundqvist Samuel
Abstract
AbstractWe give a sharp lower bound for the Hilbert function in degree d of artinian quotients $$\Bbbk [x_1,\ldots ,x_n]/I$$
k
[
x
1
,
…
,
x
n
]
/
I
failing the Strong Lefschetz property, where I is a monomial ideal generated in degree $$d \ge 2$$
d
≥
2
. We also provide sharp lower bounds for other classes of ideals, and connect our result to the classification of the Hilbert functions forcing the Strong Lefschetz property by Zanello and Zylinski.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Mathematics
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