Invariant Ф3 for line arrangements in a plane

GUO QiuMin;XUE Fei;GUO Ling;JIANG GuangFeng

Journal of Beijing University of Chemical Technology ›› 2011, Vol. 38 ›› Issue (5) : 140-143.

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Journal of Beijing University of Chemical Technology ›› 2011, Vol. 38 ›› Issue (5) : 140-143.
管理与数理科学

Invariant Ф3 for line arrangements in a plane

  • GUO QiuMin;XUE Fei;GUO Ling;JIANG GuangFeng
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Abstract

It is proven that Falk’s Ф3invariant equals twice the number of circuits with length 3 for a special kind of line arrangements in a projective plane. This partially answers an open question posed by Falk.

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GUO QiuMin;XUE Fei;GUO Ling;JIANG GuangFeng. Invariant Ф3 for line arrangements in a plane[J]. Journal of Beijing University of Chemical Technology, 2011, 38(5): 140-143

References

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