Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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SOME EXAMPLES OF THE UNION OF TWO LINEAR STAR-CONFIGURATIONS IN ℙ2 HAVING GENERIC HILBERT FUNCTION

  • Shin, Yong Su (Department of Mathematics Sungshin Women's University)
  • Received : 2013.03.04
  • Accepted : 2013.04.04
  • Published : 2013.05.15
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Abstract

In [20] and [22], the author proved that the union of two linear star-configurations in $\mathbb{P}^2$ of type $t{\times}s$ with $3{\leq}t{\leq}10$ and $t{\leq}s$ has generic Hilbert function. In this paper, we prove that the union of two linear star-configurations in $\mathbb{P}^2$ of type $t{\times}s$ with $3{\leq}t$ and $({a\atop2})-1{\leq}s$ has also generic Hilbert function.

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References

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