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http://dx.doi.org/10.7468/jksmeb.2018.25.4.337

THE HILBERT FUNCTION OF THE ARTINIAN QUOTIENT OF CODIMENSION 3  

Shin, Yong-Su (Department of Mathematics, Sungshin Women's University)
Publication Information
The Pure and Applied Mathematics / v.25, no.4, 2018 , pp. 337-343 More about this Journal
Abstract
We investigate all kinds of the Hilbert function of the Artinian quotient of the coordinate ring of a linear star configuration in ${\mathbb{P}}^2$ of type 3 (or 3-general points in ${\mathbb{P}}^2$). As an application, we prove that such an Artinian quotient has the SLP.
Keywords
Hilbert function; Artinian quotient; the strong Lefschetz property; the weak Lefschetz property;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
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8 Y.S. Shin: Some Examples of The Union of Two Linear Star-configurations in ${\mathbb{P}}^2$ Having Generic Hilbert Function. J. Chungcheong Math. Soc. 26 (2013), no. 2, 403-409.   DOI