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Hilbert-Poincar{e} series of parity binomial edge ideals and permanental ideals of complete graph

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 نشر من قبل Thomas Kahle
 تاريخ النشر 2020
  مجال البحث
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We give an explicit formula for the Hilbert-Poincar{e} series of the parity binomial edge ideal of a complete graph $K_{n}$ or equivalently for the ideal generated by all $2times 2$-permanents of a $2times n$-matrix. It follows that the depth and Castelnuovo-Mumford regularity of these ideals are independent of $n$.



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