Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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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)
  • Published : 2012.08.15
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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].

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References

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Cited by

  1. SOME APPLICATION OF THE UNION OF TWO 𝕜-CONFIGURATIONS IN ℙ2 vol.27, pp.3, 2014, https://doi.org/10.14403/jcms.2014.27.3.413
  2. SOME EXAMPLES OF THE UNION OF TWO LINEAR STAR-CONFIGURATIONS IN ℙ2HAVING GENERIC HILBERT FUNCTION vol.26, pp.2, 2013, https://doi.org/10.14403/jcms.2013.26.2.403