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http://dx.doi.org/10.14403/jcms.2012.25.3.553

ON THE HILBERT FUNCTION OF THE UNION OF TWO LINEAR STAR-CONFIGURATIONS IN $\mathbb{P}^2$  

Shin, Yong Su (Department of Mathematics Sungshin Women's University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.25, no.3, 2012 , pp. 553-562 More about this Journal
Abstract
It has been proved that the union of two linear star-configurations in $\mathbb{P}^2$ of type $t{\times}s$ for $3{\leq}t{\leq}9$ and $3{\leq}t{\leq}s$ has generic Hilbert function. We extend the condition to $t$ = 10, so that it is true for $3{\leq}t{\leq}10$, which generalizes the result of [7].
Keywords
Hilbert functions; fat star-configuration; fat linear star-configurations; general forms; generic initial ideals;
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