Commun. Korean Math. Soc. 2016; 31(4): 683-693
Online first article September 28, 2016 Printed October 31, 2016
https://doi.org/10.4134/CKMS.c150218
Copyright © The Korean Mathematical Society.
Yong-Su Shin
Sungshin Women's University
In \cite{AGS:1}, the authors proved that the finiteunion of linear star-configurations in $\P^2$ has a generic Hilbert function. In this paper, we find the minimal graded free resolution of the union of two linear star-configurations in $\P^2$ of type $s\times t$ with $\binom{t}{2}\le s$ and $3\le t$.
Keywords: minimal graded free resolution, Hilbert function, generic Hilbert function, star-configurations
MSC numbers: Primary 13A02; Secondary 16W50
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