Browse > Article
http://dx.doi.org/10.7468/jksmeb.2019.26.3.209

THE ARTINIAN QUOTIENT OF CODIMENSION n + 1  

Shin, Yong-Su (Department of Mathematics, Sungshin Women's University)
Publication Information
The Pure and Applied Mathematics / v.26, no.3, 2019 , pp. 209-214 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 ${\mathbb{P}}^n$ of type (n+1) (or (n+1)-general points in ${\mathbb{P}}^n$), which generalizes the result [7, Theorem 3.1].
Keywords
Hilbert function; star configuration; generic Hilbert function; weak Lefschetz property; strong Lefschetz property;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 J. Ahn & Y.S. Shin: The Minimal Free Resolution of a Star-Configuration in ${\mathbb{P}}^n$ and the Weak-Lefschetz Property. J. Korean Math. Soc. 49 (2012), no. 2, 405-417.   DOI
2 E. Carlini, E. Guardo & A. Van Tuyl: Star configurations on generic hypersurfaces. J. Algebra 407 (2014) 1-20.   DOI
3 A.V. Geramita, B. Harbourne & J.C. Migliore: Star Configurations in ${\mathbb{P}}^n$. J. Algebra 376 (2013), 279-299.   DOI
4 Y.R. Kim & Y.S. Shin: The Artinian Point Star Configuration Quotient and the Strong Lefschetz Property. In prepartation.
5 J.P. Park & Y.S. Shin: The Minimal Free Resolution of a Star-configuration in ${\mathbb{P}}^n$. J. Pure Appl. Algebra 219 (2015), 2124-2133.   DOI
6 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
7 Y.S. Shin: The Hilbert function of the Artinian quotient of codimension 3. J. Korean Soc. Math. Educ. Ser. B: Pure Appl. Math. 25 (2018), no. 4, 337-343