Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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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.

The minimal free resolution of the union of two linear star-configurations in $\P^2$

Yong-Su Shin

Sungshin Women's University

Abstract

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